{"id":"https://openalex.org/W2047807138","doi":"https://doi.org/10.1007/s00493-014-2935-4","title":"Partitioning 2-edge-colored graphs by monochromatic paths and cycles","display_name":"Partitioning 2-edge-colored graphs by monochromatic paths and cycles","publication_year":2014,"publication_date":"2014-08-20","ids":{"openalex":"https://openalex.org/W2047807138","doi":"https://doi.org/10.1007/s00493-014-2935-4","mag":"2047807138"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-014-2935-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-014-2935-4","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1509.05544","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108264183","display_name":"J\u00f3zsef Balogh","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J\u00f3zsef Balogh","raw_affiliation_strings":["Department of Mathematical Sciences, University of Illinois, Urbana, IL, 61801, USA","Department of Mathematical Sciences, University of Illinois, Urbana, USA 61801#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Illinois, Urbana, IL, 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Illinois, Urbana, USA 61801#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018859813","display_name":"J\u00e1nos Bar\u00e1t","orcid":"https://orcid.org/0000-0002-8474-487X"},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"J\u00e1nos Bar\u00e1t","raw_affiliation_strings":["School of Mathematical Sciences, Monash University, 3800, Victoria, Australia","School of Mathematical Sciences, Monash University, Victoria, Australia 3800"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Monash University, 3800, Victoria, Australia","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"School of Mathematical Sciences, Monash University, Victoria, Australia 3800","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071291505","display_name":"D\u00e1niel Gerbner","orcid":"https://orcid.org/0000-0001-7080-2883"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"D\u00e1niel Gerbner","raw_affiliation_strings":["Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, H-1364, Hungary","Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, Hungary H-1364#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, H-1364, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"raw_affiliation_string":"Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, Hungary H-1364#TAB#","institution_ids":["https://openalex.org/I127817813"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020847160","display_name":"Andr\u00e1s Gy\u00e1rf\u00e1s","orcid":"https://orcid.org/0000-0001-6173-1008"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Andr\u00e1s Gy\u00e1rf\u00e1s","raw_affiliation_strings":["Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, H-1364, Hungary","Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, Hungary H-1364#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, H-1364, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"raw_affiliation_string":"Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, Hungary H-1364#TAB#","institution_ids":["https://openalex.org/I127817813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087999366","display_name":"G\u00e1bor N. S\u00e1rk\u00f6zy","orcid":null},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G\u00e1bor N. S\u00e1rk\u00f6zy","raw_affiliation_strings":["Computer Science Department, Worcester Polytechnic Institute, Worcester, MA, 01609, USA","Computer Science Department, Worcester Polytechnic Institute, Worcester, USA 01609"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Worcester Polytechnic Institute, Worcester, MA, 01609, USA","institution_ids":["https://openalex.org/I107077323"]},{"raw_affiliation_string":"Computer Science Department, Worcester Polytechnic Institute, Worcester, USA 01609","institution_ids":["https://openalex.org/I107077323"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5108264183"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":10.2892,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.99142313,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"34","issue":"5","first_page":"507","last_page":"526"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9761000275611877,"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/T11476","display_name":"Graph theory and applications","score":0.9724000096321106,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.9169754981994629},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8183414340019226},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.714995265007019},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6097434163093567},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5896250009536743},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.57068932056427},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5332574248313904},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.5139896273612976},{"id":"https://openalex.org/keywords/independence-number","display_name":"Independence number","score":0.5062698125839233},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.4530111253261566},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41811442375183105},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37843891978263855},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2395235300064087},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.11271485686302185},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07432442903518677}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9169754981994629},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8183414340019226},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.714995265007019},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6097434163093567},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5896250009536743},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.57068932056427},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5332574248313904},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.5139896273612976},{"id":"https://openalex.org/C2984853995","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independence number","level":3,"score":0.5062698125839233},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.4530111253261566},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41811442375183105},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37843891978263855},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2395235300064087},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.11271485686302185},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07432442903518677},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00493-014-2935-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-014-2935-4","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:21941","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:1509.05544","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.05544","pdf_url":"https://arxiv.org/pdf/1509.05544","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"pmh:oai:CiteSeerX.psu:10.1.1.298.5287","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.5287","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uiuc.edu/~jobal/cikk/emlekcombfinal.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1509.05544","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.05544","pdf_url":"https://arxiv.org/pdf/1509.05544","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1444168583","https://openalex.org/W1551595104","https://openalex.org/W1569752386","https://openalex.org/W1608388753","https://openalex.org/W1837864190","https://openalex.org/W1964859857","https://openalex.org/W1967323669","https://openalex.org/W1968948734","https://openalex.org/W1972826452","https://openalex.org/W1979911458","https://openalex.org/W1996106086","https://openalex.org/W2043022221","https://openalex.org/W2047325782","https://openalex.org/W2051205297","https://openalex.org/W2057452136","https://openalex.org/W2058922939","https://openalex.org/W2063700183","https://openalex.org/W2082138873","https://openalex.org/W2090747987","https://openalex.org/W2098682008","https://openalex.org/W2104799904","https://openalex.org/W2112867544","https://openalex.org/W2116537669","https://openalex.org/W2126525415","https://openalex.org/W2153041478","https://openalex.org/W2165941143","https://openalex.org/W2170028807","https://openalex.org/W3151127145","https://openalex.org/W4234658150","https://openalex.org/W4250210862","https://openalex.org/W4298414065"],"related_works":["https://openalex.org/W3080090802","https://openalex.org/W4287686878","https://openalex.org/W2740442605","https://openalex.org/W4394659764","https://openalex.org/W1979242696","https://openalex.org/W3169513468","https://openalex.org/W3182859980","https://openalex.org/W2085606487","https://openalex.org/W3004659243","https://openalex.org/W162765681"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
