{"id":"https://openalex.org/W2038329657","doi":"https://doi.org/10.1016/0166-218x(95)00041-o","title":"Graphs that admit 3-to-1 or 2-to-1 maps onto the circle","display_name":"Graphs that admit 3-to-1 or 2-to-1 maps onto the circle","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W2038329657","doi":"https://doi.org/10.1016/0166-218x(95)00041-o","mag":"2038329657"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(95)00041-o","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(95)00041-o","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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/A5111674420","display_name":"A. J. W. Hilton","orcid":null},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]},{"id":"https://openalex.org/I71052956","display_name":"University of Reading","ror":"https://ror.org/05v62cm79","country_code":"GB","type":"education","lineage":["https://openalex.org/I71052956"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"A.J.W. Hilton","raw_affiliation_strings":["Department of Mathematics, University of Reading, Whiteknights, Reading RG6 2AX, UK","Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Reading, Whiteknights, Reading RG6 2AX, UK","institution_ids":["https://openalex.org/I71052956"]},{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017208652","display_name":"J.P. Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J.P. Liu","raw_affiliation_strings":["Department of Mathematics, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6","Department of Mathematics, Simon Fraser University, Burnaby, B.C., Canada, V5A 1S6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Burnaby, B.C., Canada, V5A 1S6","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009360154","display_name":"Cheng Zhao","orcid":"https://orcid.org/0000-0001-7812-5389"},"institutions":[{"id":"https://openalex.org/I71052956","display_name":"University of Reading","ror":"https://ror.org/05v62cm79","country_code":"GB","type":"education","lineage":["https://openalex.org/I71052956"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. Zhao","raw_affiliation_strings":["Department of Mathematics, University of Reading, Whiteknights, Reading RG6 2AX, UK","Department of Mathematics, University of Reading, Whiteknights, Reading RG6 2AX, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Reading, Whiteknights, Reading RG6 2AX, UK","institution_ids":["https://openalex.org/I71052956"]},{"raw_affiliation_string":"Department of Mathematics, University of Reading, Whiteknights, Reading RG6 2AX, UK#TAB#","institution_ids":["https://openalex.org/I71052956"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111674420"],"corresponding_institution_ids":["https://openalex.org/I12097938","https://openalex.org/I71052956"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16654519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"65","issue":"1-3","first_page":"347","last_page":"377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9970999956130981,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9970999956130981,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9943000078201294,"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":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8364626169204712},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6096743941307068},{"id":"https://openalex.org/keywords/great-circle","display_name":"Great circle","score":0.4925020635128021},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.45303452014923096},{"id":"https://openalex.org/keywords/circle-packing","display_name":"Circle packing","score":0.4181211590766907},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4026990234851837},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15691354870796204}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8364626169204712},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6096743941307068},{"id":"https://openalex.org/C148189969","wikidata":"https://www.wikidata.org/wiki/Q146657","display_name":"Great circle","level":2,"score":0.4925020635128021},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.45303452014923096},{"id":"https://openalex.org/C123115066","wikidata":"https://www.wikidata.org/wiki/Q5121501","display_name":"Circle packing","level":2,"score":0.4181211590766907},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4026990234851837},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15691354870796204},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0166-218x(95)00041-o","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(95)00041-o","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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":22,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1490862018","https://openalex.org/W1543537926","https://openalex.org/W1973094533","https://openalex.org/W1984683360","https://openalex.org/W1987474893","https://openalex.org/W2011645612","https://openalex.org/W2029757258","https://openalex.org/W2030565592","https://openalex.org/W2070033276","https://openalex.org/W2078979772","https://openalex.org/W2313509630","https://openalex.org/W2907603548","https://openalex.org/W4210645769","https://openalex.org/W4237611366","https://openalex.org/W4253320356","https://openalex.org/W4255798025","https://openalex.org/W4300303686","https://openalex.org/W6653297203","https://openalex.org/W6835140386","https://openalex.org/W6837052989","https://openalex.org/W6838105878"],"related_works":["https://openalex.org/W2769125261","https://openalex.org/W2119398048","https://openalex.org/W2026894794","https://openalex.org/W2055789678","https://openalex.org/W174975552","https://openalex.org/W2026428655","https://openalex.org/W2595429479","https://openalex.org/W4283025969","https://openalex.org/W3034053692","https://openalex.org/W2028657493"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
