{"id":"https://openalex.org/W2136545669","doi":"https://doi.org/10.1142/s1793830912500036","title":"ON EDGE COLORING OF HYPERGRAPHS AND ERD\u00d6S\u2013FABER\u2013LOV\u00c1SZ CONJECTURE","display_name":"ON EDGE COLORING OF HYPERGRAPHS AND ERD\u00d6S\u2013FABER\u2013LOV\u00c1SZ CONJECTURE","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2136545669","doi":"https://doi.org/10.1142/s1793830912500036","mag":"2136545669"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830912500036","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500036","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088460425","display_name":"Viji Paul","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"VIJI PAUL","raw_affiliation_strings":["Department of Mathematics, WMO Arts and Science College, Muttil, Kerala, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, WMO Arts and Science College, Muttil, Kerala, India","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"K. A. GERMINA","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. A. GERMINA","raw_affiliation_strings":["Research Centre &amp; PG Department of Mathematics, Mary Matha Arts and Science College, Vemom P.O., Mananthavady \u2013 670645, India"],"affiliations":[{"raw_affiliation_string":"Research Centre &amp; PG Department of Mathematics, Mary Matha Arts and Science College, Vemom P.O., Mananthavady \u2013 670645, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088460425"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9681,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.73824363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"04","issue":"01","first_page":"1250003","last_page":"1250003"},"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":0.9979000091552734,"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":0.9979000091552734,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9940999746322632,"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/conjecture","display_name":"Conjecture","score":0.9338232278823853},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.829373300075531},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.7645448446273804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7519988417625427},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.6245607733726501},{"id":"https://openalex.org/keywords/collatz-conjecture","display_name":"Collatz conjecture","score":0.49875903129577637},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4183782637119293},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37278079986572266},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2835887670516968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13002270460128784},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.06022226810455322}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.9338232278823853},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.829373300075531},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.7645448446273804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7519988417625427},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.6245607733726501},{"id":"https://openalex.org/C128814272","wikidata":"https://www.wikidata.org/wiki/Q837314","display_name":"Collatz conjecture","level":3,"score":0.49875903129577637},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4183782637119293},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37278079986572266},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2835887670516968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13002270460128784},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.06022226810455322},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830912500036","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500036","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W415832010","https://openalex.org/W1972797373","https://openalex.org/W1983747324","https://openalex.org/W1984375054","https://openalex.org/W2005432897","https://openalex.org/W2026043952","https://openalex.org/W2049191701","https://openalex.org/W2050258148","https://openalex.org/W2054283200","https://openalex.org/W2169821423","https://openalex.org/W2332503871","https://openalex.org/W2333352871"],"related_works":["https://openalex.org/W2950288113","https://openalex.org/W1782528665","https://openalex.org/W4291209671","https://openalex.org/W2100234888","https://openalex.org/W1973978937","https://openalex.org/W2097887535","https://openalex.org/W2163633449","https://openalex.org/W4213178788","https://openalex.org/W4283323077","https://openalex.org/W3039346985"],"abstract_inverted_index":{"The":[0,93],"celebrated":[1],"Erd\u00f6s\u2013Faber\u2013Lov\u00e1sz":[2,94],"conjecture":[3,31,37,62,87,95],"originated":[4],"in":[5,43,53],"the":[6,30,36,48,61,86],"year":[7],"1972.":[8],"It":[9,76],"can":[10],"be":[11,41],"stated":[12],"as":[13],"follows:":[14],"any":[15],"linear":[16,67],"hypergraph":[17],"on":[18,69],"n":[19,70],"vertices":[20,71],"has":[21],"chromatic":[22],"index":[23],"at":[24],"most":[25],"n.":[26],"Different":[27],"formulations":[28],"of":[29,85],"have":[32],"been":[33],"obtained":[34],"and":[35],"is":[38,50,63],"proved":[39],"to":[40],"true":[42,64],"some":[44],"particular":[45],"cases.":[46],"But":[47],"problem":[49],"still":[51],"unsolved":[52],"general.":[54],"In":[55],"this":[56],"paper,":[57],"we":[58],"prove":[59],"that":[60],"for":[65,88,96],"all":[66],"hypergraphs":[68,90],"with":[72],"[Formula:":[73],"see":[74],"text].":[75],"generalizes":[77],"an":[78,82],"existing":[79],"result":[80],"regarding":[81],"equivalent":[83],"formulation":[84],"dense":[89,97],"[A.":[91],"Sanchez-Arroyo,":[92],"hypergraphs,":[98],"Discrete":[99],"Math.308":[100],"(2008)":[101],"991\u2013992].":[102]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
