{"id":"https://openalex.org/W2138958008","doi":"https://doi.org/10.37236/2121","title":"Partition of Graphs and Hypergraphs into Monochromatic Connected Parts","display_name":"Partition of Graphs and Hypergraphs into Monochromatic Connected Parts","publication_year":2012,"publication_date":"2012-08-30","ids":{"openalex":"https://openalex.org/W2138958008","doi":"https://doi.org/10.37236/2121","mag":"2138958008"},"language":"en","primary_location":{"id":"doi:10.37236/2121","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2121","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i3p27/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i3p27/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101970850","display_name":"Shinya Fujita","orcid":"https://orcid.org/0000-0001-8812-8321"},"institutions":[{"id":"https://openalex.org/I153470267","display_name":"Maebashi Institute of Technology","ror":"https://ror.org/01x05rm94","country_code":"JP","type":"education","lineage":["https://openalex.org/I153470267"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shinya Fujita","raw_affiliation_strings":["Maebashi Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Maebashi Institute of Technology","institution_ids":["https://openalex.org/I153470267"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045129685","display_name":"Michitaka Furuya","orcid":"https://orcid.org/0000-0003-0991-6122"},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Michitaka Furuya","raw_affiliation_strings":["Tokyo University of Science"],"affiliations":[{"raw_affiliation_string":"Tokyo University of Science","institution_ids":["https://openalex.org/I161296585"]}]},{"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/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","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"],"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences","institution_ids":["https://openalex.org/I7597260"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102547369","display_name":"\u00c1gnes T\u00f3th","orcid":null},"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"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"\u00c1gnes T\u00f3th","raw_affiliation_strings":["Budapest University of Technology and Economics","Budapest Univ. of Technology & Economics"],"affiliations":[{"raw_affiliation_string":"Budapest University of Technology and Economics","institution_ids":["https://openalex.org/I29770179"]},{"raw_affiliation_string":"Budapest Univ. of Technology & Economics","institution_ids":["https://openalex.org/I29770179"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101970850"],"corresponding_institution_ids":["https://openalex.org/I153470267"],"apc_list":null,"apc_paid":null,"fwci":0.9683,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73888417,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"3","first_page":null,"last_page":null},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9884999990463257,"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":0.9855999946594238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8838582038879395},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.8766310811042786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7880222797393799},{"id":"https://openalex.org/keywords/independence-number","display_name":"Independence number","score":0.7128398418426514},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6139955520629883},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6056284308433533},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.5942070484161377},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.5906989574432373},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5808422565460205},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4042607545852661},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3767935335636139},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07427164912223816}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8838582038879395},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.8766310811042786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7880222797393799},{"id":"https://openalex.org/C2984853995","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independence number","level":3,"score":0.7128398418426514},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6139955520629883},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6056284308433533},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.5942070484161377},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.5906989574432373},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5808422565460205},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4042607545852661},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3767935335636139},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07427164912223816},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/2121","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2121","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i3p27/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/2121","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2121","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i3p27/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2256499016","display_name":null,"funder_award_id":"Grant-in-Aid for Young Scientists (","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3216697655","display_name":"\u6df1\u767a\u5730\u9707\u306e\u767a\u9707\u6a5f\u69cb\u3068\u6ce2\u52d5\u30d1\u30bf\u30fc\u30f3","funder_award_id":"074006","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3236194794","display_name":null,"funder_award_id":"Grant-in-Aid","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3348058139","display_name":null,"funder_award_id":"Grant-in-Aid for Young Scien","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3459562248","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4148599816","display_name":"A STUDY ON PARTITION PROBLEMS IN HIGHLY CONNECTED GRAPHS AND FORBIDDEN SUBGRAPHS","funder_award_id":"20740068","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4367772926","display_name":null,"funder_award_id":"Grant-in-Aid for Young Scientists","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4873009569","display_name":null,"funder_award_id":"Grant-in-Aid for Young Scientists (B)","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4874944895","display_name":null,"funder_award_id":"-in-Aid","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7039781541","display_name":"\u6b6f\u79d1\u7528\u63a5\u7740\u6027\u5145\u3066\u3093\u6750\u306e\u7814\u7a76","funder_award_id":"74006","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7752643416","display_name":null,"funder_award_id":"Japan","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2138958008.pdf","grobid_xml":"https://content.openalex.org/works/W2138958008.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W78420916","https://openalex.org/W1826676154","https://openalex.org/W1837864190","https://openalex.org/W1978665169","https://openalex.org/W1979911458","https://openalex.org/W1993421845","https://openalex.org/W1996103888","https://openalex.org/W2028268901","https://openalex.org/W2043399762","https://openalex.org/W2057452136","https://openalex.org/W2064536540","https://openalex.org/W2799004609","https://openalex.org/W4241906804"],"related_works":["https://openalex.org/W2108355214","https://openalex.org/W3080090802","https://openalex.org/W4287686878","https://openalex.org/W2740442605","https://openalex.org/W2760637807","https://openalex.org/W2181370180","https://openalex.org/W3128483851","https://openalex.org/W2777980911","https://openalex.org/W4301330059","https://openalex.org/W2207846923"],"abstract_inverted_index":{"We":[0,20,105],"show":[1,106],"that":[2,22,53,107],"two":[3,145],"results":[4],"on":[5,134],"covering":[6],"of":[7,51,80,89,100,111,118,130,146],"edge":[8],"colored":[9],"graphs":[10,101],"by":[11,142],"monochromatic":[12,41,70,124],"connected":[13,42,71,125],"parts":[14,131],"can":[15,33,65,120],"be":[16,34,66,121],"extended":[17],"to":[18],"partitioning.":[19],"prove":[21],"for":[23,108],"any":[24,57,61,109],"$2$-edge-colored":[25,62],"non-trivial":[26],"$r$-uniform":[27],"hypergraph":[28],"$H$,":[29],"the":[30,48,77,115,128,147],"vertex":[31,116],"set":[32,117],"partitioned":[35,67,122],"into":[36,68,123],"at":[37],"most":[38],"$\\alpha":[39,45,74],"(H)-r+2$":[40],"parts,":[43,72,126],"where":[44,73,127],"(H)$":[46],"is":[47,95],"maximum":[49],"number":[50,79,129],"vertices":[52],"does":[54],"not":[55],"contain":[56],"edge.":[58],"In":[59],"particular,":[60],"graph":[63,113],"$G$":[64,119],"$\\alpha(G)$":[69],"(G)$":[75],"denotes":[76],"independence":[78],"$G$.":[81],"This":[82,136],"extends":[83,137],"K\u00f6nig's":[84],"theorem,":[85],"a":[86,112],"special":[87],"case":[88],"Ryser's":[90],"conjecture.":[91],"Our":[92],"second":[93],"result":[94],"about":[96],"Gallai-colorings,":[97],"i.e.":[98],"edge-colorings":[99],"without":[102],"$3$-edge-colored":[103],"triangles.":[104],"Gallai-coloring":[110],"$G$,":[114],"depends":[132],"only":[133],"$\\alpha(G)$.":[135],"its":[138],"cover-version":[139],"proved":[140],"earlier":[141],"Simonyi":[143],"and":[144],"authors.":[148]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
