{"id":"https://openalex.org/W2970904446","doi":"https://doi.org/10.1007/s10479-023-05527-8","title":"On the mixed connectivity conjecture of Beineke and Harary","display_name":"On the mixed connectivity conjecture of Beineke and Harary","publication_year":2023,"publication_date":"2023-08-15","ids":{"openalex":"https://openalex.org/W2970904446","doi":"https://doi.org/10.1007/s10479-023-05527-8","mag":"2970904446"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-023-05527-8","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10479-023-05527-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-023-05527-8.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","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/s10479-023-05527-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012458952","display_name":"Sebastian Johann","orcid":null},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]},{"id":"https://openalex.org/I2802076133","display_name":"University of Koblenz and Landau","ror":"https://ror.org/01j9f6752","country_code":"DE","type":"education","lineage":["https://openalex.org/I2802076133"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sebastian S. Johann","raw_affiliation_strings":["Department of Mathematics, University of Kaiserslautern-Landau, Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kaiserslautern-Landau, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046","https://openalex.org/I2802076133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069280526","display_name":"Sven O. Krumke","orcid":"https://orcid.org/0000-0002-8726-9963"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]},{"id":"https://openalex.org/I2802076133","display_name":"University of Koblenz and Landau","ror":"https://ror.org/01j9f6752","country_code":"DE","type":"education","lineage":["https://openalex.org/I2802076133"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sven O. Krumke","raw_affiliation_strings":["Department of Mathematics, University of Kaiserslautern-Landau, Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kaiserslautern-Landau, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046","https://openalex.org/I2802076133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038099839","display_name":"Manuel Streicher","orcid":"https://orcid.org/0000-0001-5605-7637"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]},{"id":"https://openalex.org/I2802076133","display_name":"University of Koblenz and Landau","ror":"https://ror.org/01j9f6752","country_code":"DE","type":"education","lineage":["https://openalex.org/I2802076133"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Manuel Streicher","raw_affiliation_strings":["Department of Mathematics, University of Kaiserslautern-Landau, Kaiserslautern, Germany"],"raw_orcid":"https://orcid.org/0000-0001-5605-7637","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kaiserslautern-Landau, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046","https://openalex.org/I2802076133"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069280526"],"corresponding_institution_ids":["https://openalex.org/I153267046","https://openalex.org/I2802076133"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.1436,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.41470266,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"332","issue":"1-3","first_page":"107","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9980000257492065,"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":0.9980000257492065,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9937000274658203,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9850000143051147,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5307885408401489},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3079566955566406}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5307885408401489},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3079566955566406}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10479-023-05527-8","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10479-023-05527-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-023-05527-8.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:econstor.eu:10419/309016","is_oa":true,"landing_page_url":"https://hdl.handle.net/10419/309016","pdf_url":"https://www.econstor.eu/bitstream/10419/309016/1/s10479-023-05527-8.pdf","source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null,"raw_type":"doc-type:article"},{"id":"pmh:oai:econstor.eu:10419/317733","is_oa":true,"landing_page_url":"https://hdl.handle.net/10419/317733","pdf_url":"https://www.econstor.eu/bitstream/10419/317733/1/10479_2023_Article_5527.pdf","source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null,"raw_type":"doc-type:article"},{"id":"pmh:oai:kluedo.ub.rptu.de:8957","is_oa":true,"landing_page_url":"https://kluedo.ub.rptu.de/frontdoor/index/index/docId/8957","pdf_url":"https://kluedo.ub.rptu.de/files/8957/s10479-023-05527-8.pdf","source":{"id":"https://openalex.org/S4306402046","display_name":"Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I153267046","host_organization_name":"University of Kaiserslautern","host_organization_lineage":["https://openalex.org/I153267046"],"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":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:spr:annopr:v:332:y:2024:i:1:d:10.1007_s10479-023-05527-8","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-023-05527-8","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"}],"best_oa_location":{"id":"doi:10.1007/s10479-023-05527-8","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10479-023-05527-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-023-05527-8.pdf","source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2970904446.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W9203110","https://openalex.org/W205447702","https://openalex.org/W798021849","https://openalex.org/W2002055996","https://openalex.org/W2026063750","https://openalex.org/W2074698001","https://openalex.org/W2076891803","https://openalex.org/W2087083200","https://openalex.org/W2104968017","https://openalex.org/W2276010663","https://openalex.org/W2330548796","https://openalex.org/W2980359395","https://openalex.org/W2988480584","https://openalex.org/W3043060850","https://openalex.org/W3141776272","https://openalex.org/W3174484826","https://openalex.org/W3198983784","https://openalex.org/W6628682275","https://openalex.org/W6750258011"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"conjecture":[2,100,132],"of":[3,81,137],"Beineke":[4],"and":[5,20,39,61,111,142,145],"Harary":[6],"states":[7],"that":[8,130],"for":[9,23,101,134],"any":[10],"two":[11,79],"vertices":[12,19,38,60,80],"which":[13,82],"can":[14],"be":[15],"separated":[16],"by":[17,36],"k":[18,37,144],"l":[21,62,146],"edges":[22,49,63],"$$l\\ge":[24],"1$$":[25],"<mml:math":[26,41,52,67,84,103,116],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[27,42,53,68,85,104,117],"<mml:mrow>":[28,43,54,69,86,105,118],"<mml:mi>l</mml:mi>":[29,44,72,106],"<mml:mo>\u2265</mml:mo>":[30],"<mml:mn>1</mml:mn>":[31,46,57,89],"</mml:mrow>":[32,47,58,73,90,109,122],"</mml:math>":[33,48,59,74,91,110,123],"but":[34],"neither":[35],"$$l-1$$":[40],"<mml:mo>-</mml:mo>":[45,56],"nor":[50],"$$k-1$$":[51],"<mml:mi>k</mml:mi>":[55,70,87,119],"there":[64],"are":[65,92],"$$k+l$$":[66],"<mml:mo>+</mml:mo>":[71,88],"edge-disjoint":[75],"paths":[76],"connecting":[77],"these":[78],"$$k+1$$":[83],"internally":[93],"disjoint.In":[94],"this":[95,99,126],"paper":[96],"we":[97],"prove":[98,129],"$$l=2$$":[102],"<mml:mo>=</mml:mo>":[107],"<mml:mn>2</mml:mn>":[108],"every":[112],"$$k\\in":[113],"\\mathbb":[114],"{N}$$":[115],"<mml:mo>\u2208</mml:mo>":[120],"<mml:mi>N</mml:mi>":[121],".We":[124],"utilize":[125],"result":[127],"to":[128],"the":[131],"holds":[133],"all":[135,143],"graphs":[136],"treewidth":[138],"at":[139],"most":[140],"3":[141],".":[147]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}