{"id":"https://openalex.org/W4400274603","doi":"https://doi.org/10.1007/s10878-024-01184-0","title":"Finding a second Hamiltonian decomposition of a 4-regular multigraph by integer linear programming","display_name":"Finding a second Hamiltonian decomposition of a 4-regular multigraph by integer linear programming","publication_year":2024,"publication_date":"2024-07-01","ids":{"openalex":"https://openalex.org/W4400274603","doi":"https://doi.org/10.1007/s10878-024-01184-0"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-024-01184-0","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s10878-024-01184-0","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","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/A5053965200","display_name":"Andrei V. Nikolaev","orcid":null},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Andrei V. Nikolaev","raw_affiliation_strings":["P.G. Demidov Yaroslavl State University, Yaroslavl, Russia","Yaroslavl State University, Yaroslavl, Russia"],"raw_orcid":"https://orcid.org/0000-0003-4705-2409","affiliations":[{"raw_affiliation_string":"P.G. Demidov Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013869359","display_name":"Egor V. Klimov","orcid":"https://orcid.org/0000-0002-9250-5115"},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Egor V. Klimov","raw_affiliation_strings":["P.G. Demidov Yaroslavl State University, Yaroslavl, Russia","Yaroslavl State University, Yaroslavl, Russia"],"raw_orcid":"https://orcid.org/0000-0002-9250-5115","affiliations":[{"raw_affiliation_string":"P.G. Demidov Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053965200"],"corresponding_institution_ids":["https://openalex.org/I198371094"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07281495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"5","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":0.9993000030517578,"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":0.9993000030517578,"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":0.9930999875068665,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/multigraph","display_name":"Multigraph","score":0.9332326650619507},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7862048745155334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6907693147659302},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6495946645736694},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5523211359977722},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5244448781013489},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5173786878585815},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5110841989517212},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.492998331785202},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4746076464653015},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.4352794885635376},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.43271923065185547},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3247278928756714},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21000534296035767},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20374125242233276},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17904698848724365}],"concepts":[{"id":"https://openalex.org/C17758045","wikidata":"https://www.wikidata.org/wiki/Q2642629","display_name":"Multigraph","level":3,"score":0.9332326650619507},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7862048745155334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6907693147659302},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6495946645736694},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5523211359977722},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5244448781013489},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5173786878585815},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5110841989517212},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.492998331785202},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4746076464653015},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.4352794885635376},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.43271923065185547},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3247278928756714},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21000534296035767},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20374125242233276},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17904698848724365},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-024-01184-0","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s10878-024-01184-0","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:47:y:2024:i:5:d:10.1007_s10878-024-01184-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-024-01184-0","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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W41824517","https://openalex.org/W64937842","https://openalex.org/W113399901","https://openalex.org/W626292722","https://openalex.org/W1548698003","https://openalex.org/W1574377372","https://openalex.org/W1603350720","https://openalex.org/W1984094590","https://openalex.org/W1985422831","https://openalex.org/W2000825158","https://openalex.org/W2002352982","https://openalex.org/W2005944337","https://openalex.org/W2010334716","https://openalex.org/W2023683195","https://openalex.org/W2035613389","https://openalex.org/W2049287714","https://openalex.org/W2053929306","https://openalex.org/W2059625366","https://openalex.org/W2067818563","https://openalex.org/W2086332879","https://openalex.org/W2086714760","https://openalex.org/W2103026976","https://openalex.org/W2107535850","https://openalex.org/W2117157235","https://openalex.org/W2127470768","https://openalex.org/W2136023107","https://openalex.org/W2154926368","https://openalex.org/W2160642345","https://openalex.org/W2171367973","https://openalex.org/W2249534008","https://openalex.org/W2254962512","https://openalex.org/W2317309498","https://openalex.org/W2324108981","https://openalex.org/W2399100674","https://openalex.org/W2401610261","https://openalex.org/W2516530272","https://openalex.org/W2590614448","https://openalex.org/W2912073143","https://openalex.org/W2913850717","https://openalex.org/W2953563151","https://openalex.org/W2963248084","https://openalex.org/W3091098346","https://openalex.org/W3103781801","https://openalex.org/W3132971545","https://openalex.org/W3178944186","https://openalex.org/W4211174428","https://openalex.org/W4233756358","https://openalex.org/W6962841207"],"related_works":["https://openalex.org/W4302819359","https://openalex.org/W2769220156","https://openalex.org/W4210880521","https://openalex.org/W2769538987","https://openalex.org/W2941114593","https://openalex.org/W4300803591","https://openalex.org/W2009796757","https://openalex.org/W4238890272","https://openalex.org/W139245164","https://openalex.org/W4252122881"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
