{"id":"https://openalex.org/W4389966928","doi":"https://doi.org/10.1117/12.3011425","title":"Some properties of the circulant graphs","display_name":"Some properties of the circulant graphs","publication_year":2023,"publication_date":"2023-12-20","ids":{"openalex":"https://openalex.org/W4389966928","doi":"https://doi.org/10.1117/12.3011425"},"language":"en","primary_location":{"id":"doi:10.1117/12.3011425","doi":"https://doi.org/10.1117/12.3011425","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1117/12.3011425","pdf_url":null,"source":{"id":"https://openalex.org/S7407086340","display_name":"International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE 2023)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5016055086","display_name":"Manal Al-Labadi","orcid":"https://orcid.org/0000-0003-3756-8110","observed_orcids":["https://orcid.org/0000-0003-3756-8110"]},"institutions":[{"id":"https://openalex.org/I36622005","display_name":"Petra University","ror":"https://ror.org/039d9es10","country_code":"JO","type":"education","lineage":["https://openalex.org/I36622005"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Manal Al-Labadi","raw_affiliation_strings":["University of Petra (Jordan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Petra (Jordan)","institution_ids":["https://openalex.org/I36622005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046296632","display_name":"Shuker Mahmood Khalil","orcid":"https://orcid.org/0000-0002-7635-3553","observed_orcids":["https://orcid.org/0000-0002-7635-3553"]},"institutions":[{"id":"https://openalex.org/I126633494","display_name":"University of Basrah","ror":"https://ror.org/00840ea57","country_code":"IQ","type":"education","lineage":["https://openalex.org/I126633494"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Shuker M. Khalil","raw_affiliation_strings":["University of Basrah (Iraq)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Basrah (Iraq)","institution_ids":["https://openalex.org/I126633494"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093535814","display_name":"Eman Almohur","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I146367977","display_name":"Applied Science Private University","ror":"https://ror.org/01ah6nb52","country_code":"JO","type":"education","lineage":["https://openalex.org/I146367977"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Eman Almohur","raw_affiliation_strings":["Applied Science Private University (Jordan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Science Private University (Jordan)","institution_ids":["https://openalex.org/I146367977"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0538,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.92682927,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"12","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9994999766349792,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.00019999999494757503,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":9.999999747378752e-05,"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/circulant-graphs","display_name":"circulant graphs","score":1.0},{"id":"https://openalex.org/keywords/graph-diameter","display_name":"graph diameter","score":0.8740000128746033},{"id":"https://openalex.org/keywords/wiener-index","display_name":"Wiener index","score":1.0},{"id":"https://openalex.org/keywords/eulerian-graphs","display_name":"Eulerian graphs","score":0.8569999933242798}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.9811811447143555},{"id":"https://openalex.org/C82190004","wikidata":"https://www.wikidata.org/wiki/Q5121633","display_name":"Circulant graph","level":5,"score":0.7204470634460449},{"id":"https://openalex.org/C16640446","wikidata":"https://www.wikidata.org/wiki/Q909065","display_name":"Wiener index","level":3,"score":0.622127115726471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5910256505012512},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5644832253456116},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.548203706741333},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48008638620376587},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4707385003566742},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4649316966533661},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43602699041366577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27212390303611755},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.15466704964637756},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15277299284934998},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1144656240940094},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1117/12.3011425","doi":"https://doi.org/10.1117/12.3011425","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1117/12.3011425","pdf_url":null,"source":{"id":"https://openalex.org/S7407086340","display_name":"International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE 2023)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1991827476","https://openalex.org/W2094613978","https://openalex.org/W2564170764","https://openalex.org/W2794712258","https://openalex.org/W2799699290","https://openalex.org/W2841400858","https://openalex.org/W2898939009","https://openalex.org/W2950478156","https://openalex.org/W2954503147","https://openalex.org/W2967046809","https://openalex.org/W2968772377","https://openalex.org/W2969053239","https://openalex.org/W3007738171","https://openalex.org/W3031325729","https://openalex.org/W3108637355","https://openalex.org/W3111602167","https://openalex.org/W3112560125","https://openalex.org/W3113184124","https://openalex.org/W3114005439","https://openalex.org/W3126785171","https://openalex.org/W3139238443","https://openalex.org/W3142847230","https://openalex.org/W3144708722","https://openalex.org/W3149907466","https://openalex.org/W3151838503","https://openalex.org/W3151941575","https://openalex.org/W3199497856","https://openalex.org/W3208659788","https://openalex.org/W3214297281","https://openalex.org/W4210327135","https://openalex.org/W4223543168","https://openalex.org/W4242388173","https://openalex.org/W4243201842","https://openalex.org/W4253488307","https://openalex.org/W4287514999","https://openalex.org/W4298012143","https://openalex.org/W4318605718","https://openalex.org/W4318606186","https://openalex.org/W4320155551","https://openalex.org/W4328005949","https://openalex.org/W4328006285","https://openalex.org/W4328006293","https://openalex.org/W4353031509","https://openalex.org/W4362737720","https://openalex.org/W4363649649","https://openalex.org/W4365817820","https://openalex.org/W6785316704"],"related_works":["https://openalex.org/W4307077208","https://openalex.org/W2038584337","https://openalex.org/W410529240","https://openalex.org/W4410005432","https://openalex.org/W3128408312","https://openalex.org/W2928031422","https://openalex.org/W2351639615","https://openalex.org/W2399152850","https://openalex.org/W2569839358","https://openalex.org/W2539387043"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,36,52],"compute":[4],"the":[5,18,32,38,55,62,73,76],"diameter":[6,39,47],"and":[7,44,79,90],"Wiener":[8,19],"index":[9,20],"of":[10,21,40,75,81],"circulant":[11,42,56,82],"graphs.":[12],"We":[13],"derive":[14],"a":[15],"formula":[16],"for":[17,87],"these":[22,41],"graphs,":[23,83],"which":[24],"is":[25,48,65],"given":[26],"by":[27],"two":[28],"forms,":[29],"depending":[30],"on":[31],"integer":[33,63],"l.":[34],"Furthermore,":[35],"explore":[37],"graphs":[43],"prove":[45],"that":[46,54],"equal":[49],"2.":[50],"Additionally,":[51],"establish":[53],"graph":[57,88],"exhibits":[58],"Eulerian":[59],"properties":[60],"when":[61],"l":[64],"an":[66],"odd":[67],"number.":[68],"Our":[69],"finding":[70],"contribute":[71],"to":[72],"understanding":[74],"structural":[77],"characteristics":[78],"metrics":[80],"providing":[84],"valuable":[85],"insights":[86],"theory":[89],"related":[91],"fields.":[92]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2023-12-20T00:00:00"}