{"id":"https://openalex.org/W1976057759","doi":"https://doi.org/10.1007/s003730050046","title":"Cycles Through 23 Vertices in 3-Connected Cubic Planar Graphs","display_name":"Cycles Through 23 Vertices in 3-Connected Cubic Planar Graphs","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W1976057759","doi":"https://doi.org/10.1007/s003730050046","mag":"1976057759"},"language":"en","primary_location":{"id":"doi:10.1007/s003730050046","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003730050046","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/A5070998724","display_name":"R. E. L. Aldred","orcid":"https://orcid.org/0000-0002-1927-439X"},"institutions":[{"id":"https://openalex.org/I80281795","display_name":"University of Otago","ror":"https://ror.org/01jmxt844","country_code":"NZ","type":"education","lineage":["https://openalex.org/I80281795"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"R. E. L. Aldred","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, , , , , , NZ","Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, NZ"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, , , , , , NZ","institution_ids":["https://openalex.org/I80281795"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, NZ","institution_ids":["https://openalex.org/I80281795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017678768","display_name":"Sheng Bau","orcid":null},"institutions":[{"id":"https://openalex.org/I80281795","display_name":"University of Otago","ror":"https://ror.org/01jmxt844","country_code":"NZ","type":"education","lineage":["https://openalex.org/I80281795"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"S. Bau","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, , , , , , NZ","Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, NZ"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, , , , , , NZ","institution_ids":["https://openalex.org/I80281795"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, NZ","institution_ids":["https://openalex.org/I80281795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049085613","display_name":"D. A. Holton","orcid":null},"institutions":[{"id":"https://openalex.org/I80281795","display_name":"University of Otago","ror":"https://ror.org/01jmxt844","country_code":"NZ","type":"education","lineage":["https://openalex.org/I80281795"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"D. A. Holton","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, , , , , , NZ","Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, NZ"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, , , , , , NZ","institution_ids":["https://openalex.org/I80281795"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand. e-mail: raldred@maths.otago.ac.nz; dholton@maths.otago.ac.nz, NZ","institution_ids":["https://openalex.org/I80281795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014961672","display_name":"Brendan D. McKay","orcid":"https://orcid.org/0000-0002-3553-0496"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Brendan D. McKay","raw_affiliation_strings":["Department of Computer Science, Australian National University, Canberra, ACT 0200, Australia. e-mail: bdm@cs.anu.edu.au, , , , , , AU","Department of Computer Science, Australian National University, Canberra, ACT 0200, Australia. e-mail: bdm@cs.anu.edu.au, AU"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Australian National University, Canberra, ACT 0200, Australia. e-mail: bdm@cs.anu.edu.au, , , , , , AU","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Department of Computer Science, Australian National University, Canberra, ACT 0200, Australia. e-mail: bdm@cs.anu.edu.au, AU","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070998724"],"corresponding_institution_ids":["https://openalex.org/I80281795"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.977,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.73765354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"4","first_page":"373","last_page":"376"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9968000054359436,"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":0.9968000054359436,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12288","display_name":"Optimization and Search Problems","score":0.9301999807357788,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/combinatorics","display_name":"Combinatorics","score":0.8140822649002075},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7159578204154968},{"id":"https://openalex.org/keywords/polyhedral-graph","display_name":"Polyhedral graph","score":0.6907137632369995},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6734129786491394},{"id":"https://openalex.org/keywords/cubic-graph","display_name":"Cubic graph","score":0.5023636817932129},{"id":"https://openalex.org/keywords/wheel-graph","display_name":"Wheel graph","score":0.4885898232460022},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4768422842025757},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45548030734062195},{"id":"https://openalex.org/keywords/pancyclic-graph","display_name":"Pancyclic graph","score":0.420773446559906},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3302030861377716},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.29765814542770386},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.25170159339904785},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.24281039834022522},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12623071670532227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1247553825378418},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.06118917465209961}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8140822649002075},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7159578204154968},{"id":"https://openalex.org/C91233654","wikidata":"https://www.wikidata.org/wiki/Q4555371","display_name":"Polyhedral graph","level":5,"score":0.6907137632369995},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6734129786491394},{"id":"https://openalex.org/C100500283","wikidata":"https://www.wikidata.org/wiki/Q1374495","display_name":"Cubic graph","level":5,"score":0.5023636817932129},{"id":"https://openalex.org/C148364342","wikidata":"https://www.wikidata.org/wiki/Q948887","display_name":"Wheel graph","level":5,"score":0.4885898232460022},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4768422842025757},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45548030734062195},{"id":"https://openalex.org/C166911692","wikidata":"https://www.wikidata.org/wiki/Q7130424","display_name":"Pancyclic graph","level":5,"score":0.420773446559906},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3302030861377716},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.29765814542770386},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.25170159339904785},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.24281039834022522},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12623071670532227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1247553825378418},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.06118917465209961},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s003730050046","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003730050046","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:openresearch-repository.anu.edu.au:1885/91794","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/91794","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"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","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":3,"referenced_works":["https://openalex.org/W1967318939","https://openalex.org/W2051837347","https://openalex.org/W2154032020"],"related_works":["https://openalex.org/W2886427884","https://openalex.org/W2074335998","https://openalex.org/W4224925562","https://openalex.org/W1983209214","https://openalex.org/W4240422189","https://openalex.org/W2964336346","https://openalex.org/W2963041596","https://openalex.org/W2221235787","https://openalex.org/W1851062782","https://openalex.org/W3066943322"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
