{"id":"https://openalex.org/W2253797408","doi":"https://doi.org/10.1137/140986980","title":"Induced Matchings in Graphs of Degree at Most 4","display_name":"Induced Matchings in Graphs of Degree at Most 4","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2253797408","doi":"https://doi.org/10.1137/140986980","mag":"2253797408"},"language":"en","primary_location":{"id":"doi:10.1137/140986980","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140986980","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/219953","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059543195","display_name":"Felix Joos","orcid":"https://orcid.org/0000-0002-8539-9641"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Felix Joos","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5109295201","display_name":"Viet Hang Nguyen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Viet Hang Nguyen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059543195"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4611,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.82415922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"1","first_page":"154","last_page":"165"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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":0.9965000152587891,"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":0.9106071591377258},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7760008573532104},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6886218190193176},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.58201664686203},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5682335495948792},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.44803333282470703},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4432687759399414},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.370985746383667},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12034285068511963}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9106071591377258},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7760008573532104},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6886218190193176},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.58201664686203},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5682335495948792},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.44803333282470703},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4432687759399414},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.370985746383667},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12034285068511963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/140986980","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140986980","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:219953","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/219953","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:219953","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/219953","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1974366154","https://openalex.org/W1974918981","https://openalex.org/W1977889556","https://openalex.org/W1995359535","https://openalex.org/W1999576733","https://openalex.org/W2015698277","https://openalex.org/W2020270928","https://openalex.org/W2032987509","https://openalex.org/W2035019112","https://openalex.org/W2048352893","https://openalex.org/W2058511514","https://openalex.org/W2068155033","https://openalex.org/W2086384546","https://openalex.org/W2148733241","https://openalex.org/W2151752171","https://openalex.org/W2153537497","https://openalex.org/W2175518075","https://openalex.org/W4210377846","https://openalex.org/W4230263834","https://openalex.org/W4233756358"],"related_works":["https://openalex.org/W2123893744","https://openalex.org/W4287814523","https://openalex.org/W384763036","https://openalex.org/W2077251859","https://openalex.org/W3207412727","https://openalex.org/W2999910408","https://openalex.org/W3107721479","https://openalex.org/W4286901599","https://openalex.org/W2213272066","https://openalex.org/W3015995163"],"abstract_inverted_index":{"For":[0],"a":[1,38,43,48,51,63,86,107],"graph":[2,22,64,87],"$G$,":[3],"let":[4],"$\\nu_s(G)$":[5],"be":[6],"the":[7,15,70,80,104],"strong":[8,81],"matching":[9,115],"number":[10],"of":[11,24,50,65,69,73,85,116],"$G$.":[12],"We":[13],"prove":[14],"sharp":[16],"bound":[17,100],"$\\nu_s(G)\\geq":[18,54,60,94],"\\frac{n(G)}{9}$":[19],"for":[20,56,62],"every":[21],"$G$":[23,88],"maximum":[25,66],"degree":[26,67],"at":[27,90],"most":[28,91],"4":[29],"and":[30,59,75,96,103],"without":[31],"isolated":[32],"vertices":[33],"that":[34,79],"does":[35],"not":[36],"contain":[37],"certain":[39],"blown-up":[40],"5-cycle":[41],"as":[42],"component.":[44],"This":[45,99],"result":[46],"implies":[47,106],"strengthening":[49],"consequence,":[52],"namely,":[53],"\\frac{m(G)}{18}$":[55],"such":[57],"graphs":[58],"\\frac{m(G)}{20}$":[61],"4,":[68],"well-known":[71],"conjecture":[72],"Erd\u00f6s":[74],"Ne\u0161et\u0159il,":[76],"which":[77],"says":[78],"chromatic":[82],"index":[83],"$\\chi_s'(G)$":[84],"is":[89,101],"$\\frac{5}{4}\\Delta(G)^2$,":[92],"since":[93],"\\frac{m(G)}{\\chi_s'(G)}$":[95],"$n(G)\\geq":[97],"\\frac{2m(G)}{\\Delta(G)}$.":[98],"tight":[102],"proof":[105],"polynomial":[108],"time":[109],"algorithm":[110],"to":[111],"find":[112],"an":[113],"induced":[114],"this":[117],"size.":[118]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
