{"id":"https://openalex.org/W2054482621","doi":"https://doi.org/10.1017/s0963548313000278","title":"Degree Conditions for H-Linked Digraphs","display_name":"Degree Conditions for H-Linked Digraphs","publication_year":2013,"publication_date":"2013-08-08","ids":{"openalex":"https://openalex.org/W2054482621","doi":"https://doi.org/10.1017/s0963548313000278","mag":"2054482621"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548313000278","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548313000278","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101939674","display_name":"Michael Ferrara","orcid":"https://orcid.org/0000-0001-7369-8751"},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"MICHAEL FERRARA","raw_affiliation_strings":["Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80217, USA (e-mail:","University of Colorado, Denver"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80217, USA (e-mail:","institution_ids":["https://openalex.org/I131651094"]},{"raw_affiliation_string":"University of Colorado, Denver","institution_ids":["https://openalex.org/I921990950"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060263835","display_name":"Michael S. Jacobson","orcid":"https://orcid.org/0000-0003-2220-8622"},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"MICHAEL JACOBSON","raw_affiliation_strings":["Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80217, USA (e-mail:","University of Colorado, Denver"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80217, USA (e-mail:","institution_ids":["https://openalex.org/I131651094"]},{"raw_affiliation_string":"University of Colorado, Denver","institution_ids":["https://openalex.org/I921990950"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039554856","display_name":"Florian Pfender","orcid":"https://orcid.org/0000-0002-0124-3421"},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"FLORIAN PFENDER","raw_affiliation_strings":["Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80217, USA (e-mail:","University of Colorado, Denver"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80217, USA (e-mail:","institution_ids":["https://openalex.org/I131651094"]},{"raw_affiliation_string":"University of Colorado, Denver","institution_ids":["https://openalex.org/I921990950"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.10396664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"5","first_page":"684","last_page":"699"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9941999912261963,"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/digraph","display_name":"Digraph","score":0.917843222618103},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8366085290908813},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.7412806153297424},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7399961948394775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.702288806438446},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6328201293945312},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.5477636456489563},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.5215830206871033},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46999892592430115},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4527183473110199},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11142641305923462}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.917843222618103},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8366085290908813},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.7412806153297424},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7399961948394775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.702288806438446},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6328201293945312},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.5477636456489563},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.5215830206871033},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46999892592430115},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4527183473110199},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11142641305923462},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548313000278","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548313000278","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1511371284","https://openalex.org/W1977636084","https://openalex.org/W1995210787","https://openalex.org/W1996975178","https://openalex.org/W2012945739","https://openalex.org/W2082270016","https://openalex.org/W2098792571","https://openalex.org/W2101101966","https://openalex.org/W2122076180","https://openalex.org/W2138256399","https://openalex.org/W2147885404","https://openalex.org/W2156630912","https://openalex.org/W2798588639","https://openalex.org/W4230023436","https://openalex.org/W4238667556","https://openalex.org/W4252995166"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2388301251","https://openalex.org/W2038088825","https://openalex.org/W1975203667","https://openalex.org/W3013941779","https://openalex.org/W2809546411","https://openalex.org/W1999214321","https://openalex.org/W1518627384","https://openalex.org/W4306309783","https://openalex.org/W2032599964"],"abstract_inverted_index":{"Given":[0],"a":[1,4,32,95,118,137,146],"(multi)digraph":[2],"H,":[3],"digraph":[5,35,47,138],"D":[6,36,139],"is":[7,37,79,140],"H-linked":[8,38,46,92,114,141],"if":[9],"every":[10],"injective":[11],"function":[12],"\u03b9:V(H)":[13],"\u2192":[14],"V(D)":[15],"can":[16],"be":[17,91],"extended":[18],"to":[19,90],"an":[20,45,87],"H-subdivision.":[21],"In":[22],"this":[23],"paper,":[24],"we":[25,59,106,148],"give":[26,60],"sharp":[27,61,131,152],"degree":[28,84],"conditions":[29,64,134,154],"that":[30,81,108,136],"ensure":[31],"sufficiently":[33],"large":[34],"for":[39,65,86,113,142,155],"arbitrary":[40],"H.":[41,144],"The":[42],"notion":[43],"of":[44,51,69,97,120],"extends":[48],"the":[49,82,98,109],"classes":[50],"m-linked,":[52],"m-ordered":[53,76,158],"and":[54,71,75,157],"strongly":[55],"m-connected":[56],"digraphs.":[57,77,159],"First,":[58],"minimum":[62,83],"semi-degree":[63,111],"H-linkedness,":[66],"extending":[67],"results":[68],"K\u00fchn":[70],"Osthus":[72],"on":[73,94,117],"m-linked":[74,156],"It":[78],"known":[80],"threshold":[85,112],"undirected":[88],"graph":[89,100],"depends":[93,116],"partition":[96,119],"(undirected)":[99],"H":[101,121],"into":[102,122],"three":[103],"parts.":[104,127],"Here,":[105],"show":[107],"corresponding":[110],"digraphs":[115],"as":[123,125],"many":[124],"nine":[126],"We":[128],"also":[129],"determine":[130],"Ore\u2013Woodall-type":[132],"degree-sum":[133,153],"ensuring":[135],"general":[143],"As":[145],"corollary,":[147],"obtain":[149],"(previously":[150],"undetermined)":[151]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
