{"id":"https://openalex.org/W2987505511","doi":"https://doi.org/10.1007/s10878-019-00466-2","title":"On the K\u00f6nig deficiency of zero-reducible graphs","display_name":"On the K\u00f6nig deficiency of zero-reducible graphs","publication_year":2019,"publication_date":"2019-11-06","ids":{"openalex":"https://openalex.org/W2987505511","doi":"https://doi.org/10.1007/s10878-019-00466-2","mag":"2987505511"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-019-00466-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10878-019-00466-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10878-019-00466-2.pdf","source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10878-019-00466-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077921319","display_name":"Mikl\u00f3s Bartha","orcid":"https://orcid.org/0000-0002-0996-8769"},"institutions":[{"id":"https://openalex.org/I130438778","display_name":"Memorial University of Newfoundland","ror":"https://ror.org/04haebc03","country_code":"CA","type":"education","lineage":["https://openalex.org/I130438778"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Mikl\u00f3s Bartha","raw_affiliation_strings":["Department of Computer Science, Memorial University of Newfoundland, St. John\u2019s, Canada"],"raw_orcid":"https://orcid.org/0000-0002-0996-8769","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Memorial University of Newfoundland, St. John\u2019s, Canada","institution_ids":["https://openalex.org/I130438778"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036966627","display_name":"Mikl\u00f3s Kr\u00e9sz","orcid":"https://orcid.org/0000-0002-7547-1128"},"institutions":[{"id":"https://openalex.org/I118905719","display_name":"University of Primorska","ror":"https://ror.org/05xefg082","country_code":"SI","type":"education","lineage":["https://openalex.org/I118905719"]},{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]},{"id":"https://openalex.org/I4392738086","display_name":"InnoRenew CoE","ror":"https://ror.org/0538nf417","country_code":"SI","type":"nonprofit","lineage":["https://openalex.org/I4392738086"]}],"countries":["HU","SI"],"is_corresponding":true,"raw_author_name":"Mikl\u00f3s Kr\u00e9sz","raw_affiliation_strings":["InnoRenew CoE, Izola, Slovenia","Juh\u00e1sz Gyula Faculty of Education, University of Szeged, Szeged, Hungary","University of Primorska, Koper, Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"InnoRenew CoE, Izola, Slovenia","institution_ids":["https://openalex.org/I4392738086"]},{"raw_affiliation_string":"Juh\u00e1sz Gyula Faculty of Education, University of Szeged, Szeged, Hungary","institution_ids":["https://openalex.org/I227486990"]},{"raw_affiliation_string":"University of Primorska, Koper, Slovenia","institution_ids":["https://openalex.org/I118905719"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5036966627","https://openalex.org/A5077921319"],"corresponding_institution_ids":["https://openalex.org/I118905719","https://openalex.org/I130438778","https://openalex.org/I227486990","https://openalex.org/I4392738086"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.3645,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.59777147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"39","issue":"1","first_page":"273","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9987999796867371,"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":0.9866999983787537,"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":0.674895167350769},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6053224802017212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5954527854919434},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5547312498092651},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.44709980487823486},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4457731544971466},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.42704784870147705},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4245151877403259},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4120924770832062},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35547158122062683},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08007559180259705}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.674895167350769},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6053224802017212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5954527854919434},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5547312498092651},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.44709980487823486},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4457731544971466},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42704784870147705},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4245151877403259},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4120924770832062},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35547158122062683},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08007559180259705},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10878-019-00466-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10878-019-00466-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10878-019-00466-2.pdf","source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:publicatio.bibl.u-szeged.hu:26077","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400675","display_name":"SZTE Publicatio Repozit\u00f3rium (University of Szeged)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I227486990","host_organization_name":"University of Szeged","host_organization_lineage":["https://openalex.org/I227486990"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Foly\u00f3iratcikk"},{"id":"pmh:oai:RePEc:spr:jcomop:v:39:y:2020:i:1:d:10.1007_s10878-019-00466-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-019-00466-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:zenodo.org:3532849","is_oa":true,"landing_page_url":"https://zenodo.org/record/3532849","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10878-019-00466-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10878-019-00466-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10878-019-00466-2.pdf","source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7266203761","display_name":null,"funder_award_id":"739574","funder_id":"https://openalex.org/F4320335254","funder_display_name":"Horizon 2020"}],"funders":[{"id":"https://openalex.org/F4320335254","display_name":"Horizon 2020","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2987505511.pdf","grobid_xml":"https://content.openalex.org/works/W2987505511.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1879073804","https://openalex.org/W1974817955","https://openalex.org/W1986022261","https://openalex.org/W2010151376","https://openalex.org/W2027498052","https://openalex.org/W2028503265","https://openalex.org/W2059608229","https://openalex.org/W2076062247","https://openalex.org/W2104202734","https://openalex.org/W2106579389","https://openalex.org/W2912818154","https://openalex.org/W2952753235","https://openalex.org/W4233756358"],"related_works":["https://openalex.org/W1972035260","https://openalex.org/W4250775169","https://openalex.org/W2794488505","https://openalex.org/W4301594054","https://openalex.org/W4309231192","https://openalex.org/W3125889879","https://openalex.org/W2064563243","https://openalex.org/W3124422538","https://openalex.org/W2295467472","https://openalex.org/W2362020254"],"abstract_inverted_index":{"Abstract":[0],"A":[1,19],"confluent":[2],"and":[3,59],"terminating":[4],"reduction":[5,27,41],"system":[6],"is":[7,22,35,67,80,115],"introduced":[8],"for":[9],"graphs,":[10],"which":[11],"preserves":[12],"the":[13,38,44,52,55,60,70,74,87,91,95],"number":[14,58,62],"of":[15,40,47,63,72,77,98],"their":[16],"perfect":[17,113],"matchings.":[18],"union-find":[20],"algorithm":[21],"presented":[23],"to":[24,90],"carry":[25],"out":[26],"in":[28,37,117],"almost":[29],"linear":[30],"time.":[31],"The":[32],"K\u00f6nig":[33,45,75,96],"property":[34],"investigated":[36],"context":[39],"by":[42],"introducing":[43],"deficiency":[46,76,97],"a":[48,78,102,111],"graph":[49,79,88],"G":[50,64,100],"as":[51],"difference":[53],"between":[54],"vertex":[56,103],"covering":[57],"matching":[61,114],".":[65],"It":[66],"shown":[68],"that":[69,86,106],"problem":[71],"finding":[73],"NP-complete":[81],"even":[82],"if":[83],"we":[84],"know":[85],"reduces":[89],"empty":[92],"graph.":[93],"Finally,":[94],"graphs":[99],"having":[101],"v":[104],"such":[105],"$$G-v$$":[107],"<mml:math":[108],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>G</mml:mi><mml:mo>-</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math>":[109],"has":[110],"unique":[112],"studied":[116],"connection":[118],"with":[119],"reduction.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2019-11-22T00:00:00"}
