{"id":"https://openalex.org/W2993730343","doi":"https://doi.org/10.1007/978-3-030-45771-6_18","title":"Popular Branchings and Their Dual Certificates","display_name":"Popular Branchings and Their Dual Certificates","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2993730343","doi":"https://doi.org/10.1007/978-3-030-45771-6_18","mag":"2993730343"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-45771-6_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-45771-6_18","pdf_url":null,"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"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10107-021-01659-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062523877","display_name":"Telikepalli Kavitha","orcid":"https://orcid.org/0000-0003-2619-6606"},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Telikepalli Kavitha","raw_affiliation_strings":["TIFR, Mumbai, India"],"affiliations":[{"raw_affiliation_string":"TIFR, Mumbai, India","institution_ids":["https://openalex.org/I11947397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072284685","display_name":"Tam\u00e1s Kir\u00e1ly","orcid":"https://orcid.org/0000-0001-7218-2112"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Tam\u00e1s Kir\u00e1ly","raw_affiliation_strings":["E\u00f6tv\u00f6s University, Budapest, Hungary","E\u00f6tv\u00f6s Lor\u00e1nd University"],"affiliations":[{"raw_affiliation_string":"E\u00f6tv\u00f6s University, Budapest, Hungary","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"E\u00f6tv\u00f6s Lor\u00e1nd University","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055549371","display_name":"Jannik Matuschke","orcid":"https://orcid.org/0000-0002-7463-3279"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]},{"id":"https://openalex.org/I4210115377","display_name":"VIB-KU Leuven Center for Microbiology","ror":"https://ror.org/02bpp8r91","country_code":"BE","type":"facility","lineage":["https://openalex.org/I2802017950","https://openalex.org/I4210115377","https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jannik Matuschke","raw_affiliation_strings":["KU Leuven, Leuven, Belgium","Katholieke Universiteit Leuven"],"affiliations":[{"raw_affiliation_string":"KU Leuven, Leuven, Belgium","institution_ids":[]},{"raw_affiliation_string":"Katholieke Universiteit Leuven","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070244460","display_name":"Ildik\u00f3 Schlotter","orcid":"https://orcid.org/0000-0002-0114-8280"},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]},{"id":"https://openalex.org/I4210155320","display_name":"ELTE Centre for Economic and Regional Studies","ror":"https://ror.org/051ea1411","country_code":"HU","type":"facility","lineage":["https://openalex.org/I106118109","https://openalex.org/I4210155320"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Ildik\u00f3 Schlotter","raw_affiliation_strings":["Budapest University of Technology and Economics, and KRTK KTI, Budapest, Hungary","Budapest University of Technology and Economics"],"affiliations":[{"raw_affiliation_string":"Budapest University of Technology and Economics, and KRTK KTI, Budapest, Hungary","institution_ids":[]},{"raw_affiliation_string":"Budapest University of Technology and Economics","institution_ids":["https://openalex.org/I29770179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027081283","display_name":"Ulrike Schmidt-Kraepelin","orcid":"https://orcid.org/0000-0002-9213-7746"},"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":"Ulrike Schmidt-Kraepelin","raw_affiliation_strings":["Technische Universit\u00e4t Berlin, Berlin, Germany","Technical University of Berlin"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Technical University of Berlin","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5062523877"],"corresponding_institution_ids":["https://openalex.org/I11947397"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.3055,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7495351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"192","issue":"1-2","first_page":"223","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9957000017166138,"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/T11031","display_name":"Game Theory and Applications","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.703498125076294},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5442689657211304},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.4850284457206726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47151362895965576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3625223636627197},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35578691959381104},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06045842170715332}],"concepts":[{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.703498125076294},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5442689657211304},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.4850284457206726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47151362895965576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3625223636627197},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35578691959381104},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06045842170715332},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1007/978-3-030-45771-6_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-45771-6_18","pdf_url":null,"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/s10107-021-01659-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-021-01659-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-021-01659-6.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/675809","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/675809","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Mathematical Programming, vol. 192 (1-2), (567-595)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:real.mtak.hu:136885","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1912.01854","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.01854","pdf_url":"https://arxiv.org/pdf/1912.01854","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:2993730343","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1912.01854","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:depositonce.tu-berlin.de:11303/16989","is_oa":true,"landing_page_url":"https://depositonce.tu-berlin.de/handle/11303/16989","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:edit.elte.hu:10831/110716","is_oa":true,"landing_page_url":"http://hdl.handle.net/10831/110716","pdf_url":null,"source":{"id":"https://openalex.org/S4306400126","display_name":"ELTE Digital Institutional Repository (EDIT) (E\u00f6tv\u00f6s Lor\u00e1nd University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I106118109","host_organization_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","host_organization_lineage":["https://openalex.org/I106118109"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1912.01854","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1912.01854","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-15768","is_oa":true,"landing_page_url":"https://doi.org/10.14279/depositonce-15768","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/s10107-021-01659-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-021-01659-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-021-01659-6.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1533313245","display_name":null,"funder_award_id":"LP2016-3/2018","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G2744728761","display_name":null,"funder_award_id":"TKP2020","funder_id":"https://openalex.org/F4320335908","funder_display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap"},{"id":"https://openalex.org/G2845247602","display_name":null,"funder_award_id":"K128611","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G3071379684","display_name":null,"funder_award_id":"K120254","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G3711806682","display_name":null,"funder_award_id":"K124171","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G3988409770","display_name":null,"funder_award_id":"TKP2020-NKA-06","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G4291881689","display_name":null,"funder_award_id":"TKP2020","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G5106512922","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G522141286","display_name":null,"funder_award_id":"K120254","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G5231443906","display_name":null,"funder_award_id":"TKP2020-NKA-06","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G5289528719","display_name":null,"funder_award_id":"124171","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G5839530784","display_name":null,"funder_award_id":"K128611","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G5947282477","display_name":null,"funder_award_id":"BR 4744/2-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6024419964","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6052429835","display_name":null,"funder_award_id":"(DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7764815442","display_name":null,"funder_award_id":"LP2016-3","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G7901502133","display_name":null,"funder_award_id":"KEP-6/2018","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G8036280063","display_name":null,"funder_award_id":"TKP2020-NKA-06","funder_id":"https://openalex.org/F4320335908","funder_display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap"},{"id":"https://openalex.org/G8083627941","display_name":null,"funder_award_id":"K12417","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320326762","display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal","ror":null},{"id":"https://openalex.org/F4320335908","display_name":"Nemzeti Kutat\u00e1si, Fejleszt\u00e9si \u00e9s Innovaci\u00f3s Alap","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2993730343.pdf","grobid_xml":"https://content.openalex.org/works/W2993730343.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W565105312","https://openalex.org/W1523000149","https://openalex.org/W1525480452","https://openalex.org/W1923567744","https://openalex.org/W2010978589","https://openalex.org/W2012329067","https://openalex.org/W2033301836","https://openalex.org/W2037078275","https://openalex.org/W2050587004","https://openalex.org/W2063222520","https://openalex.org/W2068115726","https://openalex.org/W2084278031","https://openalex.org/W2096797149","https://openalex.org/W2256978550","https://openalex.org/W2547342773","https://openalex.org/W2567880568","https://openalex.org/W2738439555","https://openalex.org/W2743296665","https://openalex.org/W2794945644","https://openalex.org/W2806692490","https://openalex.org/W2808213101","https://openalex.org/W2914186512","https://openalex.org/W2932499911","https://openalex.org/W2938182455","https://openalex.org/W2963751369","https://openalex.org/W2963866057","https://openalex.org/W2964156872","https://openalex.org/W2978373699","https://openalex.org/W2998757566","https://openalex.org/W3001275923","https://openalex.org/W3016662321","https://openalex.org/W3037078236","https://openalex.org/W3102557434","https://openalex.org/W4242625978","https://openalex.org/W4246185962","https://openalex.org/W4292027170","https://openalex.org/W4300568640"],"related_works":["https://openalex.org/W3016662321","https://openalex.org/W2810514695","https://openalex.org/W2951106482","https://openalex.org/W3121732545","https://openalex.org/W1456430318","https://openalex.org/W2094637312","https://openalex.org/W3090311210","https://openalex.org/W3109258676","https://openalex.org/W2570842749","https://openalex.org/W2951117786","https://openalex.org/W2549027944","https://openalex.org/W2266731991","https://openalex.org/W2398788633","https://openalex.org/W2766709638","https://openalex.org/W3207562726","https://openalex.org/W2306674958","https://openalex.org/W2296126764","https://openalex.org/W1990376056","https://openalex.org/W2944422647","https://openalex.org/W2053218689"],"abstract_inverted_index":{"Abstract":[0],"Let":[1],"G":[2,68],"be":[3,128],"a":[4,18,30,40,54,70,77,132],"digraph":[5],"where":[6],"every":[7],"node":[8,19],"has":[9],"preferences":[10,16,23,103,140],"over":[11,24],"its":[12],"incoming":[13],"edges.":[14],"The":[15,60],"of":[17,79,84],"extend":[20],"naturally":[21],"to":[22,65,91,111,130],"branchings":[25,52,81,149],",":[26],"i.e.,":[27],"directed":[28],"forests;":[29],"branching":[31,62,72,100,115,133],"B":[32,36],"is":[33,64],"popular":[34,51,61,71,80,99,114],"if":[35,67],"does":[37],"not":[38],"lose":[39],"head-to-head":[41],"election":[42],"(where":[43],"nodes":[44],"cast":[45],"votes)":[46],"against":[47],"any":[48],"branching.":[49],"Such":[50],"have":[53],"natural":[55],"application":[56],"in":[57,82,117],"liquid":[58],"democracy.":[59],"problem":[63],"decide":[66],"admits":[69],"or":[73],"not.":[74],"We":[75],"give":[76],"characterization":[78,90,110],"terms":[83],"dual":[85],"certificates":[86],"and":[87,121],"use":[88,108],"this":[89],"design":[92],"an":[93],"efficient":[94],"combinatorial":[95],"algorithm":[96,126],"for":[97],"the":[98,113,118],"problem.":[101],"When":[102,139],"are":[104,141],"weak":[105],"rankings,":[106,143],"we":[107,144],"our":[109,125],"formulate":[112],"polytope":[116],"original":[119],"space":[120],"also":[122],"show":[123,145],"that":[124,146],"can":[127],"modified":[129],"compute":[131],"with":[134],"least":[135],"unpopularity":[136],"margin":[137],".":[138],"strict":[142],"\u201capproximately":[147],"popular\u201d":[148],"always":[150],"exist.":[151]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
