{"id":"https://openalex.org/W2013620463","doi":"https://doi.org/10.1016/s0012-365x(01)00230-8","title":"A further extension of Yap's construction for \u0394-critical graphs","display_name":"A further extension of Yap's construction for \u0394-critical graphs","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2013620463","doi":"https://doi.org/10.1016/s0012-365x(01)00230-8","mag":"2013620463"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(01)00230-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(01)00230-8","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X01002308/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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 Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0012365X01002308/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046389721","display_name":"Zi\u2010Xia Song","orcid":"https://orcid.org/0000-0001-6183-0110"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Zi-Xia Song","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore","Department of Mathematics, National University of singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Mathematics, National University of singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046389721"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.1301306,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"243","issue":"1-3","first_page":"283","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10849","display_name":"Finite Group Theory Research","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9970999956130981,"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/mathematics","display_name":"Mathematics","score":0.7911036014556885},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.751981794834137},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5563710927963257},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5111456513404846},{"id":"https://openalex.org/keywords/wheel-graph","display_name":"Wheel graph","score":0.45434069633483887},{"id":"https://openalex.org/keywords/preprint","display_name":"Preprint","score":0.43972504138946533},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43765684962272644},{"id":"https://openalex.org/keywords/symmetric-graph","display_name":"Symmetric graph","score":0.43012282252311707},{"id":"https://openalex.org/keywords/bound-graph","display_name":"Bound graph","score":0.4279824197292328},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.34494084119796753},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2938135266304016},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.21070396900177002},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06330084800720215}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7911036014556885},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.751981794834137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5563710927963257},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5111456513404846},{"id":"https://openalex.org/C148364342","wikidata":"https://www.wikidata.org/wiki/Q948887","display_name":"Wheel graph","level":5,"score":0.45434069633483887},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.43972504138946533},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43765684962272644},{"id":"https://openalex.org/C14201764","wikidata":"https://www.wikidata.org/wiki/Q1205074","display_name":"Symmetric graph","level":5,"score":0.43012282252311707},{"id":"https://openalex.org/C121134508","wikidata":"https://www.wikidata.org/wiki/Q4949882","display_name":"Bound graph","level":5,"score":0.4279824197292328},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.34494084119796753},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2938135266304016},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.21070396900177002},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06330084800720215},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(01)00230-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(01)00230-8","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X01002308/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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 Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s0012-365x(01)00230-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(01)00230-8","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X01002308/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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 Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2013620463.pdf","grobid_xml":"https://content.openalex.org/works/W2013620463.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1588145191","https://openalex.org/W2015673638","https://openalex.org/W2048300035","https://openalex.org/W2083614889","https://openalex.org/W2151370292","https://openalex.org/W2170882207"],"related_works":["https://openalex.org/W2090130267","https://openalex.org/W4298388358","https://openalex.org/W2004791814","https://openalex.org/W1995383828","https://openalex.org/W2391570583","https://openalex.org/W1970462054","https://openalex.org/W2063965319","https://openalex.org/W2070569225","https://openalex.org/W4322772955","https://openalex.org/W1607265750"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-02T14:50:37.381335","created_date":"2025-10-10T00:00:00"}