{"id":"https://openalex.org/W2268798285","doi":"https://doi.org/10.1007/s10878-017-0111-7","title":"On tree representations of relations and graphs: symbolic ultrametrics and cograph edge decompositions","display_name":"On tree representations of relations and graphs: symbolic ultrametrics and cograph edge decompositions","publication_year":2017,"publication_date":"2017-01-25","ids":{"openalex":"https://openalex.org/W2268798285","doi":"https://doi.org/10.1007/s10878-017-0111-7","mag":"2268798285"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-017-0111-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-017-0111-7","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1509.05069","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019719296","display_name":"Marc Hellmuth","orcid":"https://orcid.org/0000-0002-1620-5508"},"institutions":[{"id":"https://openalex.org/I36522303","display_name":"Universit\u00e4t Greifswald","ror":"https://ror.org/00r1edq15","country_code":"DE","type":"education","lineage":["https://openalex.org/I36522303"]},{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Marc Hellmuth","raw_affiliation_strings":["Center for Bioinformatics, Saarland University, Building E 2.1, 66041, Saarbr\u00fccken, Germany","Department of Mathematics and Computer Science, University of Greifswald, Walther-Rathenau-Strasse 47, 17487, Greifswald, Germany","Department of Mathematics and Computer Science, University of Greifswald, Greifswald, Germany","Center for Bioinformatics, Saarland University, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Center for Bioinformatics, Saarland University, Building E 2.1, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Greifswald, Walther-Rathenau-Strasse 47, 17487, Greifswald, Germany","institution_ids":["https://openalex.org/I36522303"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Greifswald, Greifswald, Germany","institution_ids":["https://openalex.org/I36522303"]},{"raw_affiliation_string":"Center for Bioinformatics, Saarland University, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066462242","display_name":"Nicolas Wieseke","orcid":null},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nicolas Wieseke","raw_affiliation_strings":["Parallel Computing and Complex Systems Group, Department of Computer Science, Leipzig University, Augustusplatz 10, 04109, Leipzig, Germany","Parallel Computing and Complex Systems Group, Department of Computer Science, Leipzig University, Leipzig, Germany"],"affiliations":[{"raw_affiliation_string":"Parallel Computing and Complex Systems Group, Department of Computer Science, Leipzig University, Augustusplatz 10, 04109, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Parallel Computing and Complex Systems Group, Department of Computer Science, Leipzig University, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019719296"],"corresponding_institution_ids":["https://openalex.org/I36522303","https://openalex.org/I91712215"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00807836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"36","issue":"2","first_page":"591","last_page":"616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.977400004863739,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.977400004863739,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9708999991416931,"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/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9682000279426575,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5503569841384888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5405923128128052},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.5300949215888977},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.46908751130104065},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.43572893738746643},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4120291769504547},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41106700897216797},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.41041263937950134},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.36473047733306885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35212063789367676},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.29950082302093506},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.15058520436286926}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5503569841384888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5405923128128052},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.5300949215888977},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.46908751130104065},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.43572893738746643},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4120291769504547},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41106700897216797},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.41041263937950134},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.36473047733306885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35212063789367676},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.29950082302093506},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.15058520436286926}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10878-017-0111-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-017-0111-7","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1509.05069","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.05069","pdf_url":"https://arxiv.org/pdf/1509.05069","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":null,"raw_type":"text"},{"id":"mag:2268798285","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1509.05069.pdf","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:RePEc:spr:jcomop:v:36:y:2018:i:2:d:10.1007_s10878-017-0111-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-017-0111-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.48550/arxiv.1509.05069","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1509.05069","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1509.05069","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.05069","pdf_url":"https://arxiv.org/pdf/1509.05069","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8725433497","display_name":null,"funder_award_id":"MI439/14-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W185036806","https://openalex.org/W319819633","https://openalex.org/W1494760299","https://openalex.org/W1495584351","https://openalex.org/W1534657341","https://openalex.org/W1575387405","https://openalex.org/W1579049696","https://openalex.org/W1603447133","https://openalex.org/W1849163561","https://openalex.org/W1950939890","https://openalex.org/W1967621400","https://openalex.org/W1979835060","https://openalex.org/W1992296962","https://openalex.org/W1997093937","https://openalex.org/W2008978934","https://openalex.org/W2015906942","https://openalex.org/W2022221380","https://openalex.org/W2028775537","https://openalex.org/W2032146159","https://openalex.org/W2033436489","https://openalex.org/W2034115935","https://openalex.org/W2041346050","https://openalex.org/W2065101902","https://openalex.org/W2076758603","https://openalex.org/W2166566648","https://openalex.org/W2180624262","https://openalex.org/W2278872572","https://openalex.org/W2303518682","https://openalex.org/W2490805901","https://openalex.org/W2949610520","https://openalex.org/W2951228233","https://openalex.org/W3100644252"],"related_works":["https://openalex.org/W2964289968","https://openalex.org/W2065581757","https://openalex.org/W3032692372","https://openalex.org/W2053991811","https://openalex.org/W2012553920","https://openalex.org/W2955841312","https://openalex.org/W2610574361","https://openalex.org/W2952233599","https://openalex.org/W2111526090","https://openalex.org/W3196065012","https://openalex.org/W35535541","https://openalex.org/W2964183795","https://openalex.org/W2516915198","https://openalex.org/W3139596764","https://openalex.org/W2949149665","https://openalex.org/W2098398499","https://openalex.org/W2405507785","https://openalex.org/W2912875731","https://openalex.org/W3135595136","https://openalex.org/W2949641092"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}