{"id":"https://openalex.org/W4406985937","doi":"https://doi.org/10.37236/13469","title":"Piercing Independent Sets in Graphs without Large Induced Matching","display_name":"Piercing Independent Sets in Graphs without Large Induced Matching","publication_year":2025,"publication_date":"2025-01-30","ids":{"openalex":"https://openalex.org/W4406985937","doi":"https://doi.org/10.37236/13469"},"language":"en","primary_location":{"id":"doi:10.37236/13469","is_oa":true,"landing_page_url":"https://doi.org/10.37236/13469","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i1p10/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/v32i1p10/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091768348","display_name":"Jiangdong Ai","orcid":"https://orcid.org/0000-0002-5691-3365"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiangdong Ai","raw_affiliation_strings":["Nankai University"],"affiliations":[{"raw_affiliation_string":"Nankai University","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101718099","display_name":"Hong Liu","orcid":"https://orcid.org/0000-0003-3328-8429"},"institutions":[{"id":"https://openalex.org/I4210104335","display_name":"Institute for Basic Science","ror":"https://ror.org/00y0zf565","country_code":"KR","type":"facility","lineage":["https://openalex.org/I4210104335"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hong Liu","raw_affiliation_strings":["Institute for Basic Science"],"affiliations":[{"raw_affiliation_string":"Institute for Basic Science","institution_ids":["https://openalex.org/I4210104335"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102843421","display_name":"Zixiang Xu","orcid":"https://orcid.org/0000-0003-0155-6783"},"institutions":[{"id":"https://openalex.org/I4210104335","display_name":"Institute for Basic Science","ror":"https://ror.org/00y0zf565","country_code":"KR","type":"facility","lineage":["https://openalex.org/I4210104335"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Zixiang Xu","raw_affiliation_strings":["Extremal Combinatorics and Probability Group, Institute for Basic Science"],"affiliations":[{"raw_affiliation_string":"Extremal Combinatorics and Probability Group, Institute for Basic Science","institution_ids":["https://openalex.org/I4210104335"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100382012","display_name":"Qiang Zhou","orcid":"https://orcid.org/0009-0003-3757-9802"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Zhou","raw_affiliation_strings":["Chinese Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5091768348"],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":null,"apc_paid":null,"fwci":4.3683,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.90313688,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"32","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11045","display_name":"Privacy, Security, and Data Protection","score":0.9326000213623047,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11045","display_name":"Privacy, Security, and Data Protection","score":0.9326000213623047,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11598","display_name":"Internet Traffic Analysis and Secure E-voting","score":0.9103000164031982,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/matching","display_name":"Matching (statistics)","score":0.63139808177948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45615142583847046},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.4106849730014801},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36870333552360535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3262791931629181},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.24603554606437683},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.17322975397109985},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.1215347945690155},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12150821089744568}],"concepts":[{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.63139808177948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45615142583847046},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.4106849730014801},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36870333552360535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3262791931629181},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.24603554606437683},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.17322975397109985},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.1215347945690155},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12150821089744568}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/13469","is_oa":true,"landing_page_url":"https://doi.org/10.37236/13469","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i1p10/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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:10.37236/13469","is_oa":true,"landing_page_url":"https://doi.org/10.37236/13469","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i1p10/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2722430816","display_name":null,"funder_award_id":"12161141006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5167091242","display_name":null,"funder_award_id":"No. 1","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6058138561","display_name":null,"funder_award_id":", No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6929685529","display_name":null,"funder_award_id":"IBS-R029-C","funder_id":"https://openalex.org/F4320326441","funder_display_name":"Institute for Basic Science"},{"id":"https://openalex.org/G8735294814","display_name":null,"funder_award_id":"IBS-R029-C4","funder_id":"https://openalex.org/F4320326441","funder_display_name":"Institute for Basic Science"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326441","display_name":"Institute for Basic Science","ror":"https://ror.org/00y0zf565"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406985937.pdf","grobid_xml":"https://content.openalex.org/works/W4406985937.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Given":[0],"a":[1,11,40],"graph":[2,27],"$G$,":[3],"denote":[4],"by":[5],"$h(G)$":[6],"the":[7],"smallest":[8],"size":[9,33],"of":[10,13,21,32,42],"subset":[12],"$V(G)$":[14],"which":[15],"intersects":[16],"every":[17],"maximum":[18,49],"independent":[19],"set":[20],"$G$.":[22],"We":[23],"prove":[24],"that":[25],"any":[26],"$G$":[28],"without":[29],"induced":[30],"matching":[31],"$t$":[34],"satisfies":[35],"$h(G)\\le":[36],"\\omega(G)^{3t-3+o(1)}$.":[37],"This":[38],"resolves":[39],"conjecture":[41],"Hajebi,":[43],"Li":[44],"and":[45],"Spirkl":[46],"[Hitting":[47],"all":[48],"stable":[50],"sets":[51],"in":[52],"$P_{5}$-free":[53],"graphs.":[54],"J.":[55],"Combin.":[56],"Theory":[57],"Ser.":[58],"B,":[59],"165:142-163,":[60],"2024].":[61]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-22T08:09:32.410652","created_date":"2025-10-10T00:00:00"}