{"id":"https://openalex.org/W3183827414","doi":"https://doi.org/10.1137/20m1362577","title":"Sublinear Longest Path Transversals","display_name":"Sublinear Longest Path Transversals","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3183827414","doi":"https://doi.org/10.1137/20m1362577","mag":"3183827414"},"language":"en","primary_location":{"id":"doi:10.1137/20m1362577","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1362577","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pure.qub.ac.uk/en/publications/b855d714-4809-4ead-997e-a541fe514240","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001987245","display_name":"James Long","orcid":"https://orcid.org/0000-0002-1028-8322"},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James A. Long","raw_affiliation_strings":["Department of Mathematics, West Virginia University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, West Virginia University, USA","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084518919","display_name":"Kevin G. Milans","orcid":"https://orcid.org/0000-0002-9680-8949"},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kevin G. Milans","raw_affiliation_strings":["Department of Mathematics, West Virginia University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, West Virginia University, USA","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084259822","display_name":"Andrea Munaro","orcid":"https://orcid.org/0000-0003-1509-8832"},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrea Munaro","raw_affiliation_strings":["School of Mathematics and Physics, Queen's University Belfast, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Queen's University Belfast, UK","institution_ids":["https://openalex.org/I126231945"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001987245"],"corresponding_institution_ids":["https://openalex.org/I12097938"],"apc_list":null,"apc_paid":null,"fwci":0.452,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67605782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"35","issue":"3","first_page":"1673","last_page":"1677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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":0.9988999962806702,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11476","display_name":"Graph theory and applications","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/sublinear-function","display_name":"Sublinear function","score":0.9078177809715271},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6997753977775574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6996080875396729},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.598143458366394},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.49440646171569824},{"id":"https://openalex.org/keywords/longest-path-problem","display_name":"Longest path problem","score":0.4494119882583618},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.394738107919693},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.30040937662124634},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.25384241342544556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12217676639556885}],"concepts":[{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.9078177809715271},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6997753977775574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6996080875396729},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.598143458366394},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.49440646171569824},{"id":"https://openalex.org/C1465435","wikidata":"https://www.wikidata.org/wiki/Q2916352","display_name":"Longest path problem","level":4,"score":0.4494119882583618},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.394738107919693},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.30040937662124634},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.25384241342544556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12217676639556885},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/20m1362577","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1362577","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/b855d714-4809-4ead-997e-a541fe514240","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/b855d714-4809-4ead-997e-a541fe514240","pdf_url":null,"source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"James A. Long, J, Milans, K G & Munaro, A 2021, 'Sublinear Longest Path Transversals', SIAM Journal on Discrete Mathematics, vol. 35, no. 3, pp. 1673\u20131677. https://doi.org/10.1137/20M1362577","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2005.02716","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.02716","pdf_url":"https://arxiv.org/pdf/2005.02716","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/b855d714-4809-4ead-997e-a541fe514240","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/b855d714-4809-4ead-997e-a541fe514240","pdf_url":null,"source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"James A. Long, J, Milans, K G & Munaro, A 2021, 'Sublinear Longest Path Transversals', SIAM Journal on Discrete Mathematics, vol. 35, no. 3, pp. 1673\u20131677. https://doi.org/10.1137/20M1362577","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W66941999","https://openalex.org/W2016117822","https://openalex.org/W2021292985","https://openalex.org/W2072632250","https://openalex.org/W2162263336","https://openalex.org/W2531095544","https://openalex.org/W3141776272","https://openalex.org/W4297936050"],"related_works":["https://openalex.org/W2132921321","https://openalex.org/W2065006817","https://openalex.org/W2129550502","https://openalex.org/W2116465486","https://openalex.org/W2101572961","https://openalex.org/W1995629993","https://openalex.org/W1759713541","https://openalex.org/W2551933747","https://openalex.org/W2135694842","https://openalex.org/W2141450494"],"abstract_inverted_index":{"We":[0],"show":[1,43],"that":[2,44],"connected":[3,28],"graphs":[4,29,46],"admit":[5,30,47],"sublinear":[6,48],"longest":[7,31,49],"path":[8,32],"transversals.":[9,51],"This":[10],"improves":[11],"an":[12],"earlier":[13],"result":[14],"of":[15,26,34],"Rautenbach":[16],"and":[17,19],"Sereni":[18],"is":[20],"related":[21],"to":[22,42],"the":[23],"fifty-year-old":[24],"question":[25],"whether":[27],"transversals":[33],"constant":[35],"size.":[36],"The":[37],"same":[38],"technique":[39],"allows":[40],"us":[41],"2-connected":[45],"cycle":[50]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-03-17T09:09:15.849793","created_date":"2025-10-10T00:00:00"}