{"id":"https://openalex.org/W2116418681","doi":"https://doi.org/10.1002/jgt.3190080406","title":"Circulants and their connectivities","display_name":"Circulants and their connectivities","publication_year":1984,"publication_date":"1984-12-01","ids":{"openalex":"https://openalex.org/W2116418681","doi":"https://doi.org/10.1002/jgt.3190080406","mag":"2116418681"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190080406","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190080406","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5113524012","display_name":"F Boesch","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. Boesch","raw_affiliation_strings":["Stevens Institute of Technology, Hoboken, New Jersey","Stevens Institute of Technology , Hoboken, New Jersey,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology, Hoboken, New Jersey","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Stevens Institute of Technology , Hoboken, New Jersey,","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051837370","display_name":"Ralph Tindell","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Tindell","raw_affiliation_strings":["Stevens Institute of Technology, Hoboken, New Jersey","Stevens Institute of Technology , Hoboken, New Jersey,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology, Hoboken, New Jersey","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Stevens Institute of Technology , Hoboken, New Jersey,","institution_ids":["https://openalex.org/I108468826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I108468826"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":4.4103,"has_fulltext":false,"cited_by_count":353,"citation_normalized_percentile":{"value":0.93843844,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"8","issue":"4","first_page":"487","last_page":"499"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9965000152587891,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9894000291824341,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7596790790557861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6775950789451599},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6000874042510986},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5827322006225586},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.544211745262146},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5416328310966492},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.48013707995414734},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3643847703933716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2099458873271942},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0965069830417633},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05304372310638428}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7596790790557861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6775950789451599},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6000874042510986},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5827322006225586},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.544211745262146},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5416328310966492},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.48013707995414734},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3643847703933716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2099458873271942},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0965069830417633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05304372310638428},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190080406","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190080406","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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":26,"referenced_works":["https://openalex.org/W296545686","https://openalex.org/W1484040084","https://openalex.org/W1963965008","https://openalex.org/W1984332486","https://openalex.org/W2000237087","https://openalex.org/W2013737355","https://openalex.org/W2019298452","https://openalex.org/W2020671052","https://openalex.org/W2028521766","https://openalex.org/W2046269186","https://openalex.org/W2051808028","https://openalex.org/W2054091257","https://openalex.org/W2057250066","https://openalex.org/W2065979633","https://openalex.org/W2081063556","https://openalex.org/W2084667353","https://openalex.org/W2093122553","https://openalex.org/W2125993726","https://openalex.org/W2132317856","https://openalex.org/W2140265961","https://openalex.org/W2141456319","https://openalex.org/W2331072996","https://openalex.org/W2333105300","https://openalex.org/W2917646739","https://openalex.org/W4213214460","https://openalex.org/W6610502706"],"related_works":["https://openalex.org/W587735977","https://openalex.org/W1978142926","https://openalex.org/W3157395178","https://openalex.org/W3161230432","https://openalex.org/W1630076647","https://openalex.org/W184455116","https://openalex.org/W2371138613","https://openalex.org/W2080152487","https://openalex.org/W2048963458","https://openalex.org/W2168900540"],"abstract_inverted_index":{"Abstract":[0],"There":[1],"is":[2],"diverse":[3],"literature":[4],"on":[5],"various":[6],"properties":[7],"of":[8,11,27,32,50,61,68,70],"a":[9,18,47,59],"class":[10],"graphs":[12],"known":[13,52],"as":[14,53],"circulants.":[15,71],"We":[16,41],"present":[17],"new":[19,48],"result":[20],"which":[21],"answers":[22],"the":[23,29,66],"previously":[24],"unsolved":[25],"question":[26],"characterizing":[28],"connection":[30],"sequence":[31],"circulants":[33],"having":[34],"point":[35,39],"connectivity":[36,51,69],"equal":[37],"to":[38,65],"degree.":[40],"also":[42],"develop":[43],"some":[44],"theorems":[45],"regarding":[46],"generalization":[49],"super\u2010connectivity.":[54],"In":[55],"addition,":[56],"we":[57],"give":[58],"survey":[60],"published":[62],"results":[63],"pertinent":[64],"study":[67]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":13}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
