{"id":"https://openalex.org/W2911852840","doi":"https://doi.org/10.1007/978-3-030-30786-8_10","title":"Flip Distances Between Graph Orientations","display_name":"Flip Distances Between Graph Orientations","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2911852840","doi":"https://doi.org/10.1007/978-3-030-30786-8_10","mag":"2911852840","pmid":"https://pubmed.ncbi.nlm.nih.gov/33583986"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-30786-8_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-30786-8_10","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-30786-8_10.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-30786-8_10.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091823049","display_name":"Oswin Aichholzer","orcid":"https://orcid.org/0000-0002-2364-0583"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Oswin Aichholzer","raw_affiliation_strings":["TU Graz, Graz, Austria","Graz University of Technology,#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Graz, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"Graz University of Technology,#TAB#","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011369568","display_name":"Jean Cardinal","orcid":"https://orcid.org/0000-0002-2312-0967"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]},{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT","BE"],"is_corresponding":false,"raw_author_name":"Jean Cardinal","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles (ULB), Brussels, Belgium","Graz University of Technology,#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles (ULB), Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Graz University of Technology,#TAB#","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007554852","display_name":"Tony Huynh","orcid":"https://orcid.org/0000-0002-6908-923X"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]},{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU","BE"],"is_corresponding":false,"raw_author_name":"Tony Huynh","raw_affiliation_strings":["Monash University, Clayton, Australia","Universit\u00e9 libre de Bruxelles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Monash University, Clayton, Australia","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057566451","display_name":"Kolja Knauer","orcid":"https://orcid.org/0000-0002-8151-2184"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Kolja Knauer","raw_affiliation_strings":["Universitat de Barcelona (UB), Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat de Barcelona (UB), Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028248747","display_name":"Torsten M\u00fctze","orcid":"https://orcid.org/0000-0002-6383-7436"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Torsten M\u00fctze","raw_affiliation_strings":["University of Warwick, Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048260458","display_name":"Raphael Steiner","orcid":"https://orcid.org/0000-0002-4234-6136"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Raphael Steiner","raw_affiliation_strings":["TU Berlin, Berlin, Germany","Technical University of Berlin"],"raw_orcid":"https://orcid.org/0000-0002-4234-6136","affiliations":[{"raw_affiliation_string":"TU Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Technical University of Berlin","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073288056","display_name":"Birgit Vogtenhuber","orcid":"https://orcid.org/0000-0002-7166-4467"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["AT","DE"],"is_corresponding":false,"raw_author_name":"Birgit Vogtenhuber","raw_affiliation_strings":["TU Graz, Graz, Austria","Technical University of Berlin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Graz, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"Technical University of Berlin","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0118,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69719209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"83","issue":"1","first_page":"116","last_page":"134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8145145773887634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6341676712036133},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5029198527336121},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.47351670265197754},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41884803771972656},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3177764117717743}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8145145773887634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6341676712036133},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5029198527336121},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.47351670265197754},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41884803771972656},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3177764117717743}],"mesh":[],"locations_count":14,"locations":[{"id":"doi:10.1007/978-3-030-30786-8_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-30786-8_10","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-30786-8_10.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"doi:10.1007/s00453-020-00751-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-020-00751-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-020-00751-1.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmid:33583986","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33583986","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":null},{"id":"pmh:oai:wrap.warwick.ac.uk:142370","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1902.06103","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.06103","pdf_url":"https://arxiv.org/pdf/1902.06103","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2911852840","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1902.06103","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-02068615v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02068615","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02068615","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-02436272v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02436272","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WG 2019: Graph-Theoretic Concepts in Computer Science, 156, pp.120-134, 2019, &#x27E8;10.1007/978-3-030-30786-8_10&#x27E9;","raw_type":"Book sections"},{"id":"pmh:oai:HAL:hal-03583265v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03583265","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica, 2021, 83 (1), pp.116-143. &#x27E8;10.1007/s00453-020-00751-1&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:depositonce.tu-berlin.de:11303/12856","is_oa":true,"landing_page_url":"https://depositonce.tu-berlin.de/handle/11303/12856","pdf_url":null,"source":{"id":"https://openalex.org/S4406922277","display_name":"DepositOnce","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:iris.uniroma1.it:11573/1705867","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1705867","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pubmedcentral.nih.gov:7846516","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7846516","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica","raw_type":"Text"},{"id":"doi:10.48550/arxiv.1902.06103","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.06103","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.14279/depositonce-11656","is_oa":true,"landing_page_url":"https://doi.org/10.14279/depositonce-11656","pdf_url":null,"source":{"id":"https://openalex.org/S7407052985","display_name":"Technische Universit\u00e4t Berlin \u2013 Universit\u00e4tsbibliothek","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-30786-8_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-30786-8_10","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-30786-8_10.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G144942545","display_name":null,"funder_award_id":"I 3340-N35","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G1912334326","display_name":"Kombinatorische Strukturen und Algorithmen in symmetrischen Graphen","funder_award_id":"413902284","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1923425703","display_name":null,"funder_award_id":"16-CE40-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G195474297","display_name":null,"funder_award_id":"2017-","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3480752052","display_name":null,"funder_award_id":"GATO: ANR-16-CE40-0009-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3545180062","display_name":null,"funder_award_id":"CAPPS: ANR17-CE40-0018","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3869568786","display_name":"Metric graph theory","funder_award_id":"ANR-17-CE40-0015","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3900068778","display_name":null,"funder_award_id":"DISTANCIA: ANR-17-CE40-0015","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4983240618","display_name":"Combinatorial Analysis of Polytopes and Polyhedral Subdivisions","funder_award_id":"ANR-17-CE40-0018","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5009866625","display_name":null,"funder_award_id":"ANR-17-CE40-0018","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G5364122174","display_name":null,"funder_award_id":"ANR-16-CE40-0009-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5489237795","display_name":null,"funder_award_id":"GRK 2434","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5707405693","display_name":null,"funder_award_id":"19-08554S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G5859448658","display_name":null,"funder_award_id":"GA 19-08554S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G6803667113","display_name":null,"funder_award_id":"ANR-17","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7510015364","display_name":null,"funder_award_id":"413902284","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G7626641170","display_name":null,"funder_award_id":"615640-ForEFront","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G8181396905","display_name":"Graphs, Algorithms and TOpology","funder_award_id":"ANR-16-CE40-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320309755","display_name":"Univerzita Karlova v Praze","ror":"https://ror.org/024d6js02"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W24725585","https://openalex.org/W26303559","https://openalex.org/W170254964","https://openalex.org/W564413792","https://openalex.org/W1488663833","https://openalex.org/W1491169489","https://openalex.org/W1586969276","https://openalex.org/W1598126144","https://openalex.org/W1600266325","https://openalex.org/W1791109262","https://openalex.org/W1979423085","https://openalex.org/W1982177709","https://openalex.org/W1983580040","https://openalex.org/W1985101250","https://openalex.org/W1990400455","https://openalex.org/W2000825158","https://openalex.org/W2006093530","https://openalex.org/W2013007461","https://openalex.org/W2018696655","https://openalex.org/W2022116663","https://openalex.org/W2023683195","https://openalex.org/W2029293816","https://openalex.org/W2030996579","https://openalex.org/W2042275390","https://openalex.org/W2042875854","https://openalex.org/W2043434064","https://openalex.org/W2052621607","https://openalex.org/W2073598086","https://openalex.org/W2074728859","https://openalex.org/W2076341842","https://openalex.org/W2087965937","https://openalex.org/W2089017681","https://openalex.org/W2089645963","https://openalex.org/W2089947338","https://openalex.org/W2093397547","https://openalex.org/W2110762325","https://openalex.org/W2114101336","https://openalex.org/W2118947995","https://openalex.org/W2126337683","https://openalex.org/W2130848020","https://openalex.org/W2163548699","https://openalex.org/W2172042336","https://openalex.org/W2528711716","https://openalex.org/W2758576888","https://openalex.org/W2768011086","https://openalex.org/W2886220443","https://openalex.org/W2888929349","https://openalex.org/W2893736380","https://openalex.org/W2910650427","https://openalex.org/W2963417543","https://openalex.org/W2964335137","https://openalex.org/W3047321816","https://openalex.org/W3102247091","https://openalex.org/W3102370784","https://openalex.org/W4231033470","https://openalex.org/W4233036870","https://openalex.org/W4246108584","https://openalex.org/W4254118187","https://openalex.org/W6600512030"],"related_works":["https://openalex.org/W2942216670","https://openalex.org/W2741859145","https://openalex.org/W2613868972","https://openalex.org/W2276314401","https://openalex.org/W10598665","https://openalex.org/W141971525","https://openalex.org/W2750428621","https://openalex.org/W49760569","https://openalex.org/W1586627970","https://openalex.org/W2109515824","https://openalex.org/W1483552525","https://openalex.org/W2993208429","https://openalex.org/W2995368883","https://openalex.org/W2257168763","https://openalex.org/W2156698402","https://openalex.org/W1509696579","https://openalex.org/W2963514883","https://openalex.org/W2551884657","https://openalex.org/W78868202","https://openalex.org/W2782751695"],"abstract_inverted_index":{"Abstract":[0],"Flip":[1],"graphs":[2,29,77],"are":[3,27],"a":[4,13,37,44,47,105,115,131,139,159,212,222,226,229,252,259,268,315,320],"ubiquitous":[5],"class":[6],"of":[7,15,23,36,43,65,80,86,90,104,134,138,158,176,195,211,240,255,264,314],"graphs,":[8,82],"which":[9,110,248],"encode":[10],"relations":[11],"on":[12,78,190,201,228],"set":[14],"combinatorial":[16,232],"objects":[17],"by":[18,31],"elementary,":[19],"local":[20],"changes.":[21],"Skeletons":[22],"associahedra,":[24],"for":[25],"instance,":[26],"the":[28,54,62,72,88,147,173,191,237,241,262,274,293,304,307,311],"induced":[30],"quadrilateral":[32],"flips":[33,66,84,180,283],"in":[34,109,172,247,267,298],"triangulations":[35],"convex":[38],"polygon.":[39],"For":[40],"some":[41,91],"definition":[42],"flip":[45,55,76,132,148,213,242,260,308],"graph,":[46],"natural":[48,223],"computational":[49],"problem":[50,185,275,294],"to":[51,68,187,282],"consider":[52,75,96,236],"is":[53,61,163,167,217,261,310],"distance:":[56],"Given":[57],"two":[58,151,166,196],"objects,":[59],"what":[60],"minimum":[63],"number":[64,254],"needed":[67],"transform":[69],"one":[70],"into":[71,288],"other?":[73],"We":[74,142,234],"orientations":[79,246],"simple":[81],"where":[83,179],"consist":[85],"reversing":[87,135],"direction":[89],"edges.":[92],"More":[93],"precisely,":[94],"we":[95,280,302],"so-called":[97],"$$\\alpha$$":[98,152],"<mml:math":[99,120,153],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[100,121,154],"<mml:mi>\u03b1</mml:mi>":[101,123,155],"</mml:math>":[102,128,156],"-orientations":[103,157],"graph":[106,161,245,309,313],"G":[107,162],",":[108,129],"every":[111,249],"vertex":[112],"v":[113],"has":[114,251],"specified":[116,253],"outdegree":[117],"$$\\alpha":[118],"(v)$$":[119],"<mml:mrow>":[122],"<mml:mo>(</mml:mo>":[124],"<mml:mi>v</mml:mi>":[125],"<mml:mo>)</mml:mo>":[126],"</mml:mrow>":[127],"and":[130,258],"consists":[133],"all":[136,265],"edges":[137,266],"directed":[140,270],"cycle.":[141],"prove":[143],"that":[144,216,284,306],"deciding":[145],"whether":[146],"distance":[149,214,243],"between":[150,244],"planar":[160],"at":[164],"most":[165],"-complete.":[168],"This":[169,184,318],"also":[170,235],"holds":[171],"special":[174],"case":[175],"perfect":[177],"matchings,":[178],"involve":[181],"alternating":[182],"cycles.":[183],"amounts":[186],"finding":[188],"geodesics":[189],"common":[192],"base":[193],"polytope":[194],"partition":[197],"matroids,":[198],"or,":[199],"alternatively,":[200],"an":[202,208],"alcoved":[203],"polytope.":[204,233],"It":[205],"therefore":[206],"provides":[207],"interesting":[209],"example":[210],"question":[215,239],"computationally":[218],"intractable":[219],"despite":[220],"having":[221],"interpretation":[224],"as":[225],"geodesic":[227],"nicely":[230],"structured":[231],"dual":[238],"cycle":[250],"forward":[256],"edges,":[257],"reversal":[263],"minimal":[269],"cut.":[271],"In":[272],"general,":[273],"remains":[276],"hard.":[277],"However,":[278],"if":[279],"restrict":[281],"only":[285],"change":[286],"sinks":[287],"sources,":[289],"or":[290],"vice-versa,":[291],"then":[292],"can":[295],"be":[296],"solved":[297],"polynomial":[299],"time.":[300],"Here":[301],"exploit":[303],"fact":[305],"cover":[312],"distributive":[316],"lattice.":[317],"generalizes":[319],"recent":[321],"result":[322],"from":[323],"Zhang":[324],"et":[325],"al.":[326],"(Acta":[327],"Math":[328],"Sin":[329],"Engl":[330],"Ser":[331],"35(4):569\u2013576,":[332],"2019).":[333]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
