{"id":"https://openalex.org/W2055791260","doi":"https://doi.org/10.1007/s10107-003-0480-9","title":"A model of the coNP-complete non-Hamilton tour decision problem for directed graphs","display_name":"A model of the coNP-complete non-Hamilton tour decision problem for directed graphs","publication_year":2004,"publication_date":"2004-04-27","ids":{"openalex":"https://openalex.org/W2055791260","doi":"https://doi.org/10.1007/s10107-003-0480-9","mag":"2055791260"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-003-0480-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-003-0480-9","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5048317187","display_name":"Stephen Gismondi","orcid":null},"institutions":[{"id":"https://openalex.org/I79817857","display_name":"University of Guelph","ror":"https://ror.org/01r7awg59","country_code":"CA","type":"education","lineage":["https://openalex.org/I79817857"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S.J. Gismondi","raw_affiliation_strings":["Department of Computing and Information Science, University of Guelph, Guelph, Ontario, N1G 2W1, Canada","University of Guelph, Department of Computing and Information Science, Guelph, N1G 2W1, Ontario, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing and Information Science, University of Guelph, Guelph, Ontario, N1G 2W1, Canada","institution_ids":["https://openalex.org/I79817857"]},{"raw_affiliation_string":"University of Guelph, Department of Computing and Information Science, Guelph, N1G 2W1, Ontario, Canada#TAB#","institution_ids":["https://openalex.org/I79817857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018912235","display_name":"E. R. Swart","orcid":null},"institutions":[{"id":"https://openalex.org/I79817857","display_name":"University of Guelph","ror":"https://ror.org/01r7awg59","country_code":"CA","type":"education","lineage":["https://openalex.org/I79817857"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"E.R. Swart","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, N1G 2W1, Canada","University of Guelph, Department of Mathematics and Statistics, Guelph, N1G 2W1, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, N1G 2W1, Canada","institution_ids":["https://openalex.org/I79817857"]},{"raw_affiliation_string":"University of Guelph, Department of Mathematics and Statistics, Guelph, N1G 2W1, Ontario, Canada","institution_ids":["https://openalex.org/I79817857"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I79817857"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10410536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"100","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"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/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/T11476","display_name":"Graph theory and applications","score":0.9972000122070312,"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/combinatorics","display_name":"Combinatorics","score":0.8623807430267334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8383768200874329},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.7461808919906616},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.6967302560806274},{"id":"https://openalex.org/keywords/permutation-matrix","display_name":"Permutation matrix","score":0.6330106854438782},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.6189891695976257},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5717694163322449},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.5134597420692444},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.46478840708732605},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3922436237335205},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3059566915035248},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.29658764600753784},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09825283288955688}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8623807430267334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8383768200874329},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.7461808919906616},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.6967302560806274},{"id":"https://openalex.org/C84140500","wikidata":"https://www.wikidata.org/wiki/Q851512","display_name":"Permutation matrix","level":3,"score":0.6330106854438782},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.6189891695976257},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5717694163322449},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.5134597420692444},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.46478840708732605},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3922436237335205},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3059566915035248},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.29658764600753784},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09825283288955688},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-003-0480-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-003-0480-9","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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":10,"referenced_works":["https://openalex.org/W620847755","https://openalex.org/W1597374843","https://openalex.org/W1803205917","https://openalex.org/W1978172796","https://openalex.org/W1998919258","https://openalex.org/W2038021690","https://openalex.org/W2056058917","https://openalex.org/W2061410562","https://openalex.org/W2067684024","https://openalex.org/W2074311408"],"related_works":["https://openalex.org/W142701514","https://openalex.org/W2061565576","https://openalex.org/W2019069959","https://openalex.org/W2064329444","https://openalex.org/W2389339893","https://openalex.org/W1992352038","https://openalex.org/W2187510381","https://openalex.org/W21575339","https://openalex.org/W2121443275","https://openalex.org/W3047392848"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}