乐胖代购免代理版

{"id":"https://openalex.org/W2135700202","doi":"https://doi.org/10.1007/s00373-011-1077-3","title":"Dense Arbitrarily Vertex Decomposable Graphs","display_name":"Dense Arbitrarily Vertex Decomposable Graphs","publication_year":2011,"publication_date":"2011-09-07","ids":{"openalex":"https://openalex.org/W2135700202","doi":"https://doi.org/10.1007/s00373-011-1077-3","mag":"2135700202"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-011-1077-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-011-1077-3.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","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://link.springer.com/content/pdf/10.1007/s00373-011-1077-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055656391","display_name":"Mirko Hor\u0148\u00e1k","orcid":"https://orcid.org/0000-0002-3588-8455"},"institutions":[{"id":"https://openalex.org/I204881574","display_name":"University of Pavol Jozef \u0160af\u00e1rik","ror":"https://ror.org/039965637","country_code":"SK","type":"education","lineage":["https://openalex.org/I204881574"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Mirko Hor\u0148\u00e1k","raw_affiliation_strings":["P.J. \u0160af\u00e1rik University"],"affiliations":[{"raw_affiliation_string":"P.J. \u0160af\u00e1rik University","institution_ids":["https://openalex.org/I204881574"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025818275","display_name":"Antoni Marczyk","orcid":null},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Antoni Marczyk","raw_affiliation_strings":["AGH University of Science and Technology, Faculty of Applied Mathematics"],"affiliations":[{"raw_affiliation_string":"AGH University of Science and Technology, Faculty of Applied Mathematics","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004220034","display_name":"Ingo Schiermeyer","orcid":"https://orcid.org/0000-0002-9226-8025"},"institutions":[{"id":"https://openalex.org/I61893789","display_name":"TU Bergakademie Freiberg","ror":"https://ror.org/031vc2293","country_code":"DE","type":"education","lineage":["https://openalex.org/I61893789"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ingo Schiermeyer","raw_affiliation_strings":["Technische Universit\u00e4t, Bergakademie Freiberg"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t, Bergakademie Freiberg","institution_ids":["https://openalex.org/I61893789"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085801031","display_name":"Mariusz Wo\u017aniak","orcid":"https://orcid.org/0000-0003-4769-0056"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mariusz Wo\u017aniak","raw_affiliation_strings":["AGH University of Science and Technology, Faculty of Applied Mathematics"],"affiliations":[{"raw_affiliation_string":"AGH University of Science and Technology, Faculty of Applied Mathematics","institution_ids":["https://openalex.org/I686019"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890,"provenance":"doaj"},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890,"provenance":"doaj"},"fwci":0.553,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":11,"citation_normalized_percentile":{"value":0.812146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":85,"max":86},"biblio":{"volume":"28","issue":"6","first_page":"807","last_page":"821"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9999,"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":0.9999,"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":0.998,"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":0.9979,"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/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.5932266},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.5244475},{"id":"https://openalex.org/keywords/vertex-connectivity","display_name":"Vertex connectivity","score":0.5171913}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8969016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8042431},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.67187166},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.5932266},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.5244475},{"id":"https://openalex.org/C2983226441","wikidata":"https://www.wikidata.org/wiki/Q3115621","display_name":"Vertex connectivity","level":4,"score":0.5171913},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.48299658},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43070543},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41754237},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.41463473},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-011-1077-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-011-1077-3.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-011-1077-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-011-1077-3.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":15,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1544787592","https://openalex.org/W1969832626","https://openalex.org/W1970635674","https://openalex.org/W1980623900","https://openalex.org/W1994592279","https://openalex.org/W1996538461","https://openalex.org/W2029099922","https://openalex.org/W2035089435","https://openalex.org/W2053543588","https://openalex.org/W2083409154","https://openalex.org/W2121217162","https://openalex.org/W2178768069","https://openalex.org/W2989893517","https://openalex.org/W825559216"],"related_works":["https://openalex.org/W4290190164","https://openalex.org/W4244487191","https://openalex.org/W3000537086","https://openalex.org/W2963135821","https://openalex.org/W2557579792","https://openalex.org/W2135700202","https://openalex.org/W2049969628","https://openalex.org/W2021163632","https://openalex.org/W1979357680","https://openalex.org/W1559700736"],"abstract_inverted_index":{"A":[0],"graph":[1,96],"G":[2,60,76,92,131],"of":[3,26,55,59,75,84,118,121],"order":[4],"n":[5,23,31,38,41,78,98,127],"is":[6,93,124,132],"said":[7],"to":[8],"be":[9],"arbitrarily":[10,133,140],"vertex":[11,57,134,141],"decomposable":[12,142],"if":[13],"for":[14,63],"each":[15,64],"sequence":[16],"(n":[17],"1,":[18,47],".":[19,20,21,48,49,50],",":[22,51,68],"k":[24,39,53],")":[25,54],"positive":[27],"integers":[28],"such":[29,61],"that":[30,62,91,102,144],"1":[32],"+":[33,37],"\u00b7":[34,35,36],"=":[40],"there":[42],"exists":[43],"a":[44,72,94,104,108,146],"partition":[45],"(V":[46],"V":[52,69],"the":[56,85,115],"set":[58],"$${i":[65],"\\in":[66],"\\{1,\\ldots,k\\}}$$":[67],"i":[70,79],"induces":[71],"connected":[73,95],"subgraph":[74],"on":[77,97],"vertices.":[80],"The":[81],"main":[82],"result":[83],"paper":[86],"reads":[87],"as":[88],"follows.":[89],"Suppose":[90],"\u2265":[99],"20":[100],"vertices":[101,123],"admits":[103],"perfect":[105],"matching":[106,109],"or":[107],"omitting":[110],"exactly":[111],"one":[112],"vertex.":[113],"If":[114],"degree":[116,148],"sum":[117,149],"any":[119],"pair":[120],"nonadjacent":[122],"at":[125],"least":[126],"\u2212":[128],"5,":[129],"then":[130],"decomposable.":[135],"We":[136],"also":[137],"describe":[138],"2-connected":[139],"graphs":[143],"satisfy":[145],"similar":[147],"condition.":[150]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2135700202","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2024-12-12T11:17:13.687327","created_date":"2016-06-24"}