{"id":"https://openalex.org/W2086492126","doi":"https://doi.org/10.1016/s0012-365x(03)00041-4","title":"Weighted graphs with all Hamiltonian cycles of the same length","display_name":"Weighted graphs with all Hamiltonian cycles of the same length","publication_year":2003,"publication_date":"2003-03-25","ids":{"openalex":"https://openalex.org/W2086492126","doi":"https://doi.org/10.1016/s0012-365x(03)00041-4","mag":"2086492126"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(03)00041-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(03)00041-4","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5109974445","display_name":"Santosh N. Kabadi","orcid":null},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Santosh Kabadi","raw_affiliation_strings":["Faculty of Administration, University of New Brunswick, Fredericton, New Brunswick, Canada E2L 4L5","Faculty of Administration, University of New Brunswick, Fredericton, New Brunswick, Canada E2L 4L5#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Administration, University of New Brunswick, Fredericton, New Brunswick, Canada E2L 4L5","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"Faculty of Administration, University of New Brunswick, Fredericton, New Brunswick, Canada E2L 4L5#TAB#","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079361771","display_name":"Abraham P. Punnen","orcid":"https://orcid.org/0000-0002-3859-9229"},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Abraham P. Punnen","raw_affiliation_strings":["Department of Mathematical Sciences, University of New Brunswick, Saint John, New Brunswick, Canada E2L 4L5"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of New Brunswick, Saint John, New Brunswick, Canada E2L 4L5","institution_ids":["https://openalex.org/I106938459"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079361771"],"corresponding_institution_ids":["https://openalex.org/I106938459"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.9001,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.72985326,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"271","issue":"1-3","first_page":"129","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987999796867371,"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":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8265441060066223},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6994881629943848},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6057609915733337},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.5971938371658325},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.5561573505401611},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4996616840362549},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4941871464252472},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4746028780937195},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4344594180583954},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.43365049362182617},{"id":"https://openalex.org/keywords/pancyclic-graph","display_name":"Pancyclic graph","score":0.4291321635246277},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3087250590324402},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.2908250689506531},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.183746337890625}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8265441060066223},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6994881629943848},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6057609915733337},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.5971938371658325},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.5561573505401611},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4996616840362549},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4941871464252472},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4746028780937195},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4344594180583954},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.43365049362182617},{"id":"https://openalex.org/C166911692","wikidata":"https://www.wikidata.org/wiki/Q7130424","display_name":"Pancyclic graph","level":5,"score":0.4291321635246277},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3087250590324402},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.2908250689506531},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.183746337890625},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(03)00041-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(03)00041-4","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1571087346","https://openalex.org/W1969735597","https://openalex.org/W2021695072","https://openalex.org/W2035704018","https://openalex.org/W2324108981","https://openalex.org/W4285719527","https://openalex.org/W6604664341","https://openalex.org/W6655689597"],"related_works":["https://openalex.org/W2949833368","https://openalex.org/W4300545322","https://openalex.org/W2071319668","https://openalex.org/W1643271191","https://openalex.org/W2057580655","https://openalex.org/W203133463","https://openalex.org/W2019758609","https://openalex.org/W2969955840","https://openalex.org/W2769078499","https://openalex.org/W1428816444"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
