{"id":"https://openalex.org/W4294350045","doi":"https://doi.org/10.48550/arxiv.cs/0202039","title":"Generalized Cores","display_name":"Generalized Cores","publication_year":2002,"publication_date":"2002-02-28","ids":{"openalex":"https://openalex.org/W4294350045","doi":"https://doi.org/10.48550/arxiv.cs/0202039"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:cs/0202039","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0202039","pdf_url":"https://arxiv.org/pdf/cs/0202039","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cs/0202039","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001676164","display_name":"Vladimir Batagelj","orcid":"https://orcid.org/0000-0002-0240-9446","observed_orcids":["https://orcid.org/0000-0002-0240-9446"]},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I4210106342","display_name":"Institute of Mathematics, Physics, and Mechanics","ror":"https://ror.org/01eb3qa50","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210106342"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Batagelj, V.","raw_affiliation_strings":["IMFM Ljubljana , Department of TCS , Jadranska 19 , 1000 Ljubljana , Slovenia","University of Ljubljana , FMF , Department of Mathematics , and"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMFM Ljubljana , Department of TCS , Jadranska 19 , 1000 Ljubljana , Slovenia","institution_ids":["https://openalex.org/I4210106342"]},{"raw_affiliation_string":"University of Ljubljana , FMF , Department of Mathematics , and","institution_ids":["https://openalex.org/I153976015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076258808","display_name":"M. Zaver\u0161nik","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zaver\u0161nik, M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.5609999895095825,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.5609999895095825,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.2896000146865845,"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":"Advanced Graph Theory Research","score":0.12489999830722809,"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/graph-cores","display_name":"graph cores","score":0.9279999732971191},{"id":"https://openalex.org/keywords/graph-decomposition","display_name":"graph decomposition","score":0.9319999814033508},{"id":"https://openalex.org/keywords/graph-connectivity","display_name":"graph connectivity","score":0.5019999742507935}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7129861116409302},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6415171027183533},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.590895414352417},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5824070572853088},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5467988848686218},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5273566842079163},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4461880922317505},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38029494881629944},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.056680887937545776},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05251920223236084},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:cs/0202039","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0202039","pdf_url":"https://arxiv.org/pdf/cs/0202039","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.cs/0202039","doi":"https://doi.org/10.48550/arxiv.cs/0202039","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.cs/0202039","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:cs/0202039","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0202039","pdf_url":"https://arxiv.org/pdf/cs/0202039","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W2963936214","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W4301895170","https://openalex.org/W2610026222","https://openalex.org/W2239445980","https://openalex.org/W2008149323"],"abstract_inverted_index":{"Cores":[0],"are,":[1],"besides":[2],"connectivity":[3],"components,":[4],"one":[5],"among":[6],"few":[7],"concepts":[8],"that":[9,43],"provides":[10],"us":[11],"with":[12],"efficient":[13],"decompositions":[14],"of":[15,25,28,30],"large":[16],"graphs":[17],"and":[18],"networks.":[19],"In":[20],"the":[21,26,45,51],"paper":[22],"a":[23,31],"generalization":[24],"notion":[27],"core":[29],"graph":[32],"based":[33],"on":[34],"vertex":[35,48],"property":[36,49],"function":[37],"is":[38,41],"presented.":[39],"It":[40],"shown":[42],"for":[44],"local":[46],"monotone":[47],"functions":[50],"corresponding":[52],"cores":[53],"can":[54],"be":[55],"determined":[56],"in":[57],"$O(m":[58],"\\max":[59],"(\u0394,":[60],"\\log":[61],"n))$":[62],"time.":[63]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2022-09-03T00:00:00"}
