{"id":"https://openalex.org/W4312191010","doi":"https://doi.org/10.1142/s1793830923500027","title":"A short note on hyperenergetic Cayley graphs","display_name":"A short note on hyperenergetic Cayley graphs","publication_year":2022,"publication_date":"2022-12-22","ids":{"openalex":"https://openalex.org/W4312191010","doi":"https://doi.org/10.1142/s1793830923500027"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830923500027","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830923500027","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5102437020","display_name":"Yushi Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yushi Wu","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107748450","display_name":"Weijun Liu","orcid":"https://orcid.org/0000-0003-2396-637X"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weijun Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100366052","display_name":"Lu Lu","orcid":"https://orcid.org/0000-0003-3138-7546"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lu Lu","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100366052"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23176297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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/T10083","display_name":"Graphene research and applications","score":0.9502999782562256,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9399999976158142,"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/cayley-graph","display_name":"Cayley graph","score":0.8548065423965454},{"id":"https://openalex.org/keywords/dihedral-group","display_name":"Dihedral group","score":0.7709661722183228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7707949876785278},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7348134517669678},{"id":"https://openalex.org/keywords/vertex-transitive-graph","display_name":"Vertex-transitive graph","score":0.5621013641357422},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.5150060653686523},{"id":"https://openalex.org/keywords/cayleys-theorem","display_name":"Cayley's theorem","score":0.5122610926628113},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4396820366382599},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4239239990711212},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40142083168029785},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3979566991329193},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.24692311882972717},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.17086061835289001},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.1604880690574646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08693307638168335}],"concepts":[{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.8548065423965454},{"id":"https://openalex.org/C72409365","wikidata":"https://www.wikidata.org/wiki/Q558339","display_name":"Dihedral group","level":3,"score":0.7709661722183228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7707949876785278},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7348134517669678},{"id":"https://openalex.org/C113203676","wikidata":"https://www.wikidata.org/wiki/Q220997","display_name":"Vertex-transitive graph","level":5,"score":0.5621013641357422},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5150060653686523},{"id":"https://openalex.org/C4093544","wikidata":"https://www.wikidata.org/wiki/Q179208","display_name":"Cayley's theorem","level":5,"score":0.5122610926628113},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4396820366382599},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4239239990711212},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40142083168029785},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3979566991329193},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.24692311882972717},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.17086061835289001},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1604880690574646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08693307638168335},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830923500027","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830923500027","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5179079179","display_name":null,"funder_award_id":"2021JJ40707","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G5682364096","display_name":null,"funder_award_id":"2020JJ4675","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G7716179192","display_name":"\u6709\u9650\u7fa4\u4e0e\u533a\u4f20\u9012\u8bbe\u8ba1\u53ca\u5176\u76f8\u5173\u5bf9\u79f0\u56fe\u4e2d\u51e0\u7c7b\u95ee\u9898\u7684\u7814\u7a76","funder_award_id":"12071484","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8124008354","display_name":null,"funder_award_id":"12001544","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2028823949","https://openalex.org/W2132317856","https://openalex.org/W3039948875","https://openalex.org/W4230572909","https://openalex.org/W4237658155","https://openalex.org/W4238591275"],"related_works":["https://openalex.org/W4361006382","https://openalex.org/W2075255168","https://openalex.org/W2355658202","https://openalex.org/W2258599782","https://openalex.org/W2898326650","https://openalex.org/W4229057473","https://openalex.org/W4315700886","https://openalex.org/W2990447821","https://openalex.org/W2393165207","https://openalex.org/W4312191010"],"abstract_inverted_index":{"A":[0],"graph":[1,14],"[Formula:":[2,6,16,20,27,44,55],"see":[3,7,17,21,28,45,56],"text]":[4,8,18,22],"on":[5],"vertices":[9],"is":[10,23],"called":[11],"a":[12,49,69],"hyperenergetic":[13,35],"if":[15],"where":[19],"the":[24,75],"energy":[25],"of":[26,51,71],"text].":[29],"In":[30,38],"this":[31],"paper,":[32],"we":[33,47,65],"consider":[34],"Cayley":[36,52,72],"graphs.":[37],"detail,":[39],"for":[40],"any":[41],"abelian":[42],"group":[43],"text],":[46,57],"construct":[48,67],"class":[50,70],"graphs":[53,73],"over":[54,74],"in":[58],"which":[59],"almost":[60],"all":[61],"are":[62],"hyperenergetic.":[63],"Furthermore,":[64],"also":[66],"such":[68],"dihedral":[76],"group.":[77]},"counts_by_year":[],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
