{"id":"https://openalex.org/W3033808740","doi":"https://doi.org/10.1142/s1793830920500731","title":"C4C8(S) tori which are Cayley graphs","display_name":"C4C8(S) tori which are Cayley graphs","publication_year":2020,"publication_date":"2020-06-04","ids":{"openalex":"https://openalex.org/W3033808740","doi":"https://doi.org/10.1142/s1793830920500731","mag":"3033808740"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500731","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500731","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/A5001250229","display_name":"Chunqi Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164796","display_name":"Nanjing Polytechnic Institute","ror":"https://ror.org/05tt6m403","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210164796"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chunqi Liu","raw_affiliation_strings":["Nanjing Polytechnic Institute, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"Nanjing Polytechnic Institute, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I4210164796"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001250229"],"corresponding_institution_ids":["https://openalex.org/I4210164796"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04319275,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"06","first_page":"2050073","last_page":"2050073"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10903","display_name":"Porphyrin and Phthalocyanine Chemistry","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10903","display_name":"Porphyrin and Phthalocyanine Chemistry","score":0.9990000128746033,"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/T11298","display_name":"Synthesis and Properties of Aromatic Compounds","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10578","display_name":"Supramolecular Chemistry and Complexes","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7499114274978638},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6853794455528259},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.5904259085655212},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.5721525549888611},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.5510488152503967},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.44553685188293457},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.44207918643951416},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4315161108970642},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41631317138671875},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3273322582244873},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13352304697036743}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7499114274978638},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6853794455528259},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.5904259085655212},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.5721525549888611},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.5510488152503967},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.44553685188293457},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.44207918643951416},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4315161108970642},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41631317138671875},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3273322582244873},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13352304697036743},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500731","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500731","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6899999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1490047921","https://openalex.org/W1982630460","https://openalex.org/W2018858346","https://openalex.org/W2042698543","https://openalex.org/W2314192334","https://openalex.org/W2963646643","https://openalex.org/W4238591275"],"related_works":["https://openalex.org/W4296408064","https://openalex.org/W2072644539","https://openalex.org/W4302155387","https://openalex.org/W2949256963","https://openalex.org/W2545189445","https://openalex.org/W2115024785","https://openalex.org/W2949890955","https://openalex.org/W2085781584","https://openalex.org/W4289596368","https://openalex.org/W1543499813"],"abstract_inverted_index":{"A":[0],"[Formula:":[1,13,18,32,38,44,51,61,65,70,74,85,102],"see":[2,14,19,33,39,45,52,62,66,71,75,86,103],"text]":[3,15,34,40,46,53,63,67,72,87],"net":[4],"is":[5],"a":[6,25,28,36,94],"trivalent":[7],"decoration":[8],"made":[9],"by":[10,78,92],"alternating":[11],"square":[12],"and":[16,57,64,73],"octagons":[17],"text].":[20,76,104],"It":[21],"can":[22],"cover":[23],"either":[24],"cylinder":[26],"or":[27],"tori.":[29],"Cayley":[30,90],"graph":[31],"on":[35],"group":[37,100],"with":[41],"connection":[42],"set":[43],"has":[47],"the":[48,84,98],"elements":[49],"of":[50,97,101],"as":[54],"its":[55],"vertices":[56],"an":[58],"edge":[59],"joining":[60],"for":[68],"all":[69],"Motivated":[77],"Afshari\u2019s":[79],"work,":[80],"we":[81],"show":[82],"that":[83],"tori":[88],"are":[89],"graphs":[91],"constructing":[93],"regular":[95],"subgroup":[96],"automorphism":[99]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
