{"id":"https://openalex.org/W2963568288","doi":"https://doi.org/10.1016/j.dam.2017.05.008","title":"F-WORM colorings: Results for 2-connected graphs","display_name":"F-WORM colorings: Results for 2-connected graphs","publication_year":2017,"publication_date":"2017-11-01","ids":{"openalex":"https://openalex.org/W2963568288","doi":"https://doi.org/10.1016/j.dam.2017.05.008","mag":"2963568288"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.dam.2017.05.008","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["1872-6771","0166-218X"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.dam.2017.05.008","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073453029","display_name":"Csilla Bujt\u00e1s","orcid":"https://orcid.org/0000-0002-0511-5291"},"institutions":[{"id":"https://openalex.org/I140275651","display_name":"University of Pannonia","ror":"https://ror.org/03y5egs41","country_code":"HU","type":"education","lineage":["https://openalex.org/I140275651"]},{"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":true,"raw_author_name":"Csilla Bujt\u00e1s","raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary; Faculty of Information Technology, University of Pannonia, Veszpr\u00e9m, Hungary","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary","Faculty of Information Technology, University of Pannonia, Veszpr\u00e9m, Hungary"]},{"author_position":"last","author":{"id":"https://openalex.org/A5026437192","display_name":"\u0179solt Tuza","orcid":"https://orcid.org/0000-0003-3235-9221"},"institutions":[{"id":"https://openalex.org/I140275651","display_name":"University of Pannonia","ror":"https://ror.org/03y5egs41","country_code":"HU","type":"education","lineage":["https://openalex.org/I140275651"]},{"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":"Zsolt Tuza","raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary; Faculty of Information Technology, University of Pannonia, Veszpr\u00e9m, Hungary","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary","Faculty of Information Technology, University of Pannonia, Veszpr\u00e9m, Hungary"]}],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073453029"],"corresponding_institution_ids":["https://openalex.org/I140275651","https://openalex.org/I127817813","https://openalex.org/I7597260"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750,"provenance":"doaj"},"apc_paid":{"value":2750,"currency":"USD","value_usd":2750,"provenance":"doaj"},"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":1,"cited_by_percentile_year":{"min":70,"max":76},"biblio":{"volume":"231","issue":null,"first_page":"131","last_page":"138"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9981,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9981,"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/T10374","display_name":"Graph Theory and Algorithms","score":0.9962,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9914,"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"}}],"keywords":[{"keyword":"graphs","score":0.4801},{"keyword":"f-worm","score":0.25}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8296976},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7799499},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6450186},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5585762},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.47182545},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.42768687},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4249132},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08110249},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.055303693},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.dam.2017.05.008","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["1872-6771","0166-218X"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"http://real.mtak.hu/74269/1/1512.00478v1.pdf","pdf_url":"http://real.mtak.hu/74269/1/1512.00478v1.pdf","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":true,"is_in_doaj":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":["Library and Information Centre of the Hungarian Academy of Sciences"],"type":"repository"},"license":null,"version":"acceptedVersion","is_accepted":true,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1512.00478","pdf_url":"https://arxiv.org/pdf/1512.00478","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.dam.2017.05.008","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["1872-6771","0166-218X"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"referenced_works_count":6,"referenced_works":["https://openalex.org/W1971771192","https://openalex.org/W2041660094","https://openalex.org/W2081018322","https://openalex.org/W2521213992","https://openalex.org/W2963456061","https://openalex.org/W4236906586"],"related_works":["https://openalex.org/W2509614667","https://openalex.org/W2963293152","https://openalex.org/W4302199713","https://openalex.org/W4282026465","https://openalex.org/W2626027010","https://openalex.org/W2963562790","https://openalex.org/W2909469610","https://openalex.org/W2755006503","https://openalex.org/W1629841509","https://openalex.org/W1547276641"],"ngrams_url":"https://api.openalex.org/works/W2963568288/ngrams","abstract_inverted_index":{"Given":[0],"two":[1],"graphs":[2,126],"F":[3,65],"and":[4,46,66,88,143,146,158],"G,":[5],"an":[6,12],"F-WORM":[7,44,58,86,100,124],"coloring":[8],"of":[9,14,26,53,123,127],"G":[10,27,33,83,114,142,151],"is":[11,28,42,85,92,99,107],"assignment":[13],"colors":[15],"to":[16,94,109],"its":[17],"vertices":[18],"in":[19],"such":[20,38,148],"a":[21,61,81,97,112,140],"way":[22],"that":[23,134,149],"no":[24,166],"F-subgraph":[25],"monochromatic":[29],"or":[30],"rainbow.":[31],"If":[32],"has":[34,152],"at":[35],"least":[36],"one":[37],"coloring,":[39],"then":[40],"it":[41,106,164],"called":[43],"colorable":[45,87,125],"W\u2212(G,F)":[47],"denotes":[48],"the":[49,68,121,174],"minimum":[50],"possible":[51],"number":[52,77],"colors.":[54,172],"Here,":[55],"we":[56],"consider":[57],"colorings":[59,154,168],"with":[60,155,160,169],"fixed":[62],"2-connected":[63],"graph":[64,82,98,113,141],"prove":[67,133],"following":[69],"three":[70],"main":[71],"results:":[72],"(1)":[73],"For":[74,103],"every":[75],"natural":[76],"k,":[78],"there":[79,138],"exists":[80,139],"which":[84],"W\u2212(G,F)=k;":[89],"(2)":[90],"It":[91],"NP-complete":[93,108],"decide":[95,110],"whether":[96,111],"colorable;":[101],"(3)":[102],"each":[104,136],"k\u2265|V(F)|\u22121,":[105],"satisfies":[115],"W\u2212(G,F)\u2264k.":[116],"This":[117],"remains":[118],"valid":[119],"on":[120],"class":[122],"bounded":[128],"maximum":[129],"degree.":[130],"We":[131],"also":[132,159],"for":[135],"n\u22653,":[137],"integers":[144],"r":[145,157],"s":[147,161],"s\u2265r+2,":[150],"Kn-WORM":[153,167],"exactly":[156,170],"colors,":[162],"but":[163],"admits":[165],"r+1,\u2026,s\u22121":[171],"Moreover,":[173],"difference":[175],"s\u2212r":[176],"can":[177],"be":[178],"arbitrarily":[179],"large.":[180]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2963568288","counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2024-03-27T05:57:43.301040","created_date":"2019-07-30"}