{"id":"https://openalex.org/W4288549251","doi":"https://doi.org/10.1007/s00373-019-02011-8","title":"Counting Hamiltonian Cycles in the Matroid Basis Graph","display_name":"Counting Hamiltonian Cycles in the Matroid Basis Graph","publication_year":2019,"publication_date":"2019-02-09","ids":{"openalex":"https://openalex.org/W4288549251","doi":"https://doi.org/10.1007/s00373-019-02011-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-019-02011-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02011-8","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-02070575/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003834309","display_name":"Cristina G. Fernandes","orcid":"https://orcid.org/0000-0002-5259-2859"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I4210131883","display_name":"Brazilian Society of Computational and Applied Mathematics","ror":"https://ror.org/03kcw4w74","country_code":"BR","type":"other","lineage":["https://openalex.org/I4210131883"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cristina G. Fernandes","raw_affiliation_strings":["Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil","IME-USP - Department of Computer Science (Instituto de Matem\u00e1tica e Estat\u00edstica - IME-USP - Rua do Mat\u00e3o, 1010 - Cidade Universit\u00e1ria - S\u00e3o Paulo - SP - Brasil - CEP 05508-090 - Brazil)"],"raw_orcid":"https://orcid.org/0000-0002-5259-2859","affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"IME-USP - Department of Computer Science (Instituto de Matem\u00e1tica e Estat\u00edstica - IME-USP - Rua do Mat\u00e3o, 1010 - Cidade Universit\u00e1ria - S\u00e3o Paulo - SP - Brasil - CEP 05508-090 - Brazil)","institution_ids":["https://openalex.org/I4210131883"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073220656","display_name":"C\u00e9sar Hern\u00e1ndez-V\u00e9lez","orcid":"https://orcid.org/0000-0002-0990-2284"},"institutions":[{"id":"https://openalex.org/I196664497","display_name":"Autonomous University of San Luis Potos\u00ed","ror":"https://ror.org/000917t60","country_code":"MX","type":"education","lineage":["https://openalex.org/I196664497"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"C\u00e9sar Hern\u00e1ndez-V\u00e9lez","raw_affiliation_strings":["Facultad de Ciencias, Universidad Aut\u00f3noma de San Luis Potos\u00ed, San Luis Potosi, M\u00e9xico","UASLP - Universidad Autonoma de San Luis Potosi [M\u00e9xico] (\u00c1lvaro Obreg\u00f3n #64, Col. Centro, C.P. 78000\r\nSan Luis Potos\u00ed, S.L.P. M\u00e9xico - Mexico)"],"raw_orcid":"https://orcid.org/0000-0002-0990-2284","affiliations":[{"raw_affiliation_string":"Facultad de Ciencias, Universidad Aut\u00f3noma de San Luis Potos\u00ed, San Luis Potosi, M\u00e9xico","institution_ids":["https://openalex.org/I196664497"]},{"raw_affiliation_string":"UASLP - Universidad Autonoma de San Luis Potosi [M\u00e9xico] (\u00c1lvaro Obreg\u00f3n #64, Col. Centro, C.P. 78000\r\nSan Luis Potos\u00ed, S.L.P. M\u00e9xico - Mexico)","institution_ids":["https://openalex.org/I196664497"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068320063","display_name":"Jos\u00e9 Coelho de Pina","orcid":"https://orcid.org/0000-0003-0008-7954"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I4210131883","display_name":"Brazilian Society of Computational and Applied Mathematics","ror":"https://ror.org/03kcw4w74","country_code":"BR","type":"other","lineage":["https://openalex.org/I4210131883"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 C. de Pina","raw_affiliation_strings":["Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil","IME-USP - Department of Computer Science (Instituto de Matem\u00e1tica e Estat\u00edstica - IME-USP - Rua do Mat\u00e3o, 1010 - Cidade Universit\u00e1ria - S\u00e3o Paulo - SP - Brasil - CEP 05508-090 - Brazil)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"IME-USP - Department of Computer Science (Instituto de Matem\u00e1tica e Estat\u00edstica - IME-USP - Rua do Mat\u00e3o, 1010 - Cidade Universit\u00e1ria - S\u00e3o Paulo - SP - Brasil - CEP 05508-090 - Brazil)","institution_ids":["https://openalex.org/I4210131883"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104083449","display_name":"Jorge Luis Ram\u00edrez Alfons\u00edn","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jorge Luis Ram\u00edrez Alfons\u00edn","raw_affiliation_strings":["IMAG, Univ. Montpellier, CNRS, Montpellier, France","IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMAG, Univ. Montpellier, CNRS, Montpellier, France","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.34308216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"2","first_page":"539","last_page":"550"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9984999895095825,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9132397770881653},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.8925092816352844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8376781940460205},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8008679151535034},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.7179112434387207},{"id":"https://openalex.org/keywords/catalan-number","display_name":"Catalan number","score":0.5986163020133972},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.541696310043335},{"id":"https://openalex.org/keywords/cycle-basis","display_name":"Cycle basis","score":0.5269573330879211},{"id":"https://openalex.org/keywords/oriented-matroid","display_name":"Oriented matroid","score":0.5210137367248535},{"id":"https://openalex.org/keywords/dual-graph","display_name":"Dual graph","score":0.4930863082408905},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46440839767456055},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4498266279697418},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.23952722549438477},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.22418513894081116},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05807328224182129}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9132397770881653},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.8925092816352844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8376781940460205},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8008679151535034},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.7179112434387207},{"id":"https://openalex.org/C43929256","wikidata":"https://www.wikidata.org/wiki/Q270513","display_name":"Catalan number","level":2,"score":0.5986163020133972},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.541696310043335},{"id":"https://openalex.org/C26752605","wikidata":"https://www.wikidata.org/wiki/Q16766188","display_name":"Cycle basis","level":5,"score":0.5269573330879211},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.5210137367248535},{"id":"https://openalex.org/C169827030","wikidata":"https://www.wikidata.org/wiki/Q2294516","display_name":"Dual graph","level":4,"score":0.4930863082408905},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46440839767456055},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4498266279697418},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.23952722549438477},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.22418513894081116},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05807328224182129}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00373-019-02011-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02011-8","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02070575v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02070575","pdf_url":"https://hal.science/hal-02070575/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Graphs and Combinatorics, 2019, 35 (2), pp.539-550. ⟨10.1007/s00373-019-02011-8⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:002928617","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00373-019-02011-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02070575v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02070575","pdf_url":"https://hal.science/hal-02070575/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Graphs and Combinatorics, 2019, 35 (2), pp.539-550. ⟨10.1007/s00373-019-02011-8⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2479124407","display_name":null,"funder_award_id":"456792/2014-7","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G4402799499","display_name":null,"funder_award_id":"2015/","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G4656435493","display_name":null,"funder_award_id":"2012/24597-3","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G4778774570","display_name":null,"funder_award_id":"456792/2014","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7431257979","display_name":null,"funder_award_id":"2013/03447-6","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G8069192716","display_name":null,"funder_award_id":"2013/03447-6","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G8087824648","display_name":null,"funder_award_id":"308523/2012-1","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G8826752875","display_name":null,"funder_award_id":"2015/10323-7","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4288549251.pdf","grobid_xml":"https://content.openalex.org/works/W4288549251.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1971869754","https://openalex.org/W1978284489","https://openalex.org/W1979470881","https://openalex.org/W2014722605","https://openalex.org/W2016957139","https://openalex.org/W2017949301","https://openalex.org/W2064232525","https://openalex.org/W2068501739","https://openalex.org/W2083584217","https://openalex.org/W2086326409","https://openalex.org/W2093442396","https://openalex.org/W2143086466","https://openalex.org/W2309721867","https://openalex.org/W4211110115","https://openalex.org/W4231868828","https://openalex.org/W4232896595","https://openalex.org/W4300302225","https://openalex.org/W6603049477"],"related_works":["https://openalex.org/W2550106438","https://openalex.org/W8898780","https://openalex.org/W2072414647","https://openalex.org/W3165795633","https://openalex.org/W2106412416","https://openalex.org/W2028654888","https://openalex.org/W2058396904","https://openalex.org/W2494200571","https://openalex.org/W4288549251","https://openalex.org/W2479451798"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2022-07-29T00:00:00"}