{"id":"https://openalex.org/W2092787561","doi":"https://doi.org/10.1007/s003730200001","title":"On the Hamilton-Waterloo Problem","display_name":"On the Hamilton-Waterloo Problem","publication_year":2002,"publication_date":"2002-03-01","ids":{"openalex":"https://openalex.org/W2092787561","doi":"https://doi.org/10.1007/s003730200001","mag":"2092787561"},"language":"en","primary_location":{"id":"doi:10.1007/s003730200001","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003730200001","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002832519","display_name":"Peter D. Adams","orcid":"https://orcid.org/0000-0002-0684-1770"},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["AU","US"],"is_corresponding":true,"raw_author_name":"Peter Adams","raw_affiliation_strings":["Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, , , , , , AU","Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, AU"],"affiliations":[{"raw_affiliation_string":"Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, , , , , , AU","institution_ids":["https://openalex.org/I2799411422"]},{"raw_affiliation_string":"Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, AU","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004457068","display_name":"Elizabeth J. Billington","orcid":null},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["AU","US"],"is_corresponding":false,"raw_author_name":"Elizabeth J. Billington","raw_affiliation_strings":["Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, , , , , , AU","Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, AU"],"affiliations":[{"raw_affiliation_string":"Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, , , , , , AU","institution_ids":["https://openalex.org/I2799411422"]},{"raw_affiliation_string":"Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, AU","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077673866","display_name":"Darryn Bryant","orcid":"https://orcid.org/0000-0002-1605-5343"},"institutions":[{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]},{"id":"https://openalex.org/I165143802","display_name":"University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]}],"countries":["AU","US"],"is_corresponding":false,"raw_author_name":"Darryn E. Bryant","raw_affiliation_strings":["Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, , , , , , AU","Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, AU"],"affiliations":[{"raw_affiliation_string":"Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, , , , , , AU","institution_ids":["https://openalex.org/I2799411422"]},{"raw_affiliation_string":"Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia e-mail: ejb@maths.uq.edu.au, AU","institution_ids":["https://openalex.org/I165143802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051716892","display_name":"Saad I. El\u2010Zanati","orcid":"https://orcid.org/0000-0002-7680-5433"},"institutions":[{"id":"https://openalex.org/I47301684","display_name":"Illinois State University","ror":"https://ror.org/050kcr883","country_code":"US","type":"education","lineage":["https://openalex.org/I47301684"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saad I. El-Zanati","raw_affiliation_strings":["Department of Mathematics, Illinois State University, Normal, IL 61790-4520, USA, , , , , , US","Department of Mathematics, Illinois State University, Normal, IL 61790-4520, USA, US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Illinois State University, Normal, IL 61790-4520, USA, , , , , , US","institution_ids":["https://openalex.org/I47301684"]},{"raw_affiliation_string":"Department of Mathematics, Illinois State University, Normal, IL 61790-4520, USA, US","institution_ids":["https://openalex.org/I47301684"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002832519"],"corresponding_institution_ids":["https://openalex.org/I165143802","https://openalex.org/I2799411422"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.4074,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.88887475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"18","issue":"1","first_page":"31","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9983999729156494,"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":0.9983999729156494,"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/combinatorics","display_name":"Combinatorics","score":0.7325654625892639},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7092412114143372},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.42258214950561523},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.4168539047241211},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.14949849247932434},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11880886554718018}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7325654625892639},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7092412114143372},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.42258214950561523},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.4168539047241211},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.14949849247932434},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11880886554718018}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s003730200001","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003730200001","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:espace.library.uq.edu.au:UQ:61308","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2963157282"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
