{"id":"https://openalex.org/W7203733506","doi":"https://doi.org/10.22103/jmmr.2025.24749.1757","title":"More results on degree deviation and degree variance","display_name":"More results on degree deviation and degree variance","publication_year":2025,"publication_date":"2025-12-01","ids":{"openalex":"https://openalex.org/W7203733506","doi":"https://doi.org/10.22103/jmmr.2025.24749.1757"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:15331d9d67ea4355b71617eb7892ae38","doi":"https://doi.org/10.22103/jmmr.2025.24749.1757","is_oa":false,"landing_page_url":"https://doaj.org/article/15331d9d67ea4355b71617eb7892ae38","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mahani Mathematical Research, Vol 15, Iss 1, Pp 111-123 (2025)","raw_type":"article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["doaj"],"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/A5079890184","display_name":"Mohsen Sayadi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mohsen Sayadi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031022388","display_name":"Hasan Barzegar","orcid":"https://orcid.org/0000-0002-8916-7733","observed_orcids":["https://orcid.org/0000-0002-8916-7733"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hasan Barzegar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029127053","display_name":"Saeid Alikhani","orcid":"https://orcid.org/0000-0002-1801-203X","observed_orcids":["https://orcid.org/0000-0002-1801-203X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Saeid Alikhani","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9990000128746033,"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":0.9990000128746033,"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":0.00039999998989515007,"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/T10374","display_name":"Advanced Graph Theory Research","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/degree-variance","display_name":"degree variance","score":1.0},{"id":"https://openalex.org/keywords/graph-irregularity","display_name":"graph irregularity","score":0.9129999876022339},{"id":"https://openalex.org/keywords/k-regular-graphs","display_name":"k-regular graphs","score":0.9869999885559082},{"id":"https://openalex.org/keywords/graph-subdivision","display_name":"graph subdivision","score":0.9890000224113464},{"id":"https://openalex.org/keywords/network-analysis","display_name":"network analysis","score":0.722000002861023}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7226999998092651},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6995999813079834},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5530999898910522},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5273000001907349},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.47350001335144043},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.46970000863075256},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.44749999046325684},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4047999978065491},{"id":"https://openalex.org/C62100291","wikidata":"https://www.wikidata.org/wiki/Q1936288","display_name":"Total variation","level":2,"score":0.3822000026702881},{"id":"https://openalex.org/C30609935","wikidata":"https://www.wikidata.org/wiki/Q7291969","display_name":"Random geometric graph","level":5,"score":0.3418000042438507},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3346000015735626},{"id":"https://openalex.org/C49777392","wikidata":"https://www.wikidata.org/wiki/Q5535495","display_name":"Geometric networks","level":3,"score":0.32749998569488525},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.2824000120162964},{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.2685000002384186},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.26510000228881836},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2549000084400177}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:doaj.org/article:15331d9d67ea4355b71617eb7892ae38","doi":"https://doi.org/10.22103/jmmr.2025.24749.1757","is_oa":false,"landing_page_url":"https://doaj.org/article/15331d9d67ea4355b71617eb7892ae38","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mahani Mathematical Research, Vol 15, Iss 1, Pp 111-123 (2025)","raw_type":"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":0,"referenced_works":[],"related_works":["https://openalex.org/W4210763437","https://openalex.org/W4309130886","https://openalex.org/W3091326898","https://openalex.org/W3018806650","https://openalex.org/W7098609832","https://openalex.org/W2897175540","https://openalex.org/W2564236212","https://openalex.org/W2157774758","https://openalex.org/W1774383489","https://openalex.org/W4353075716"],"abstract_inverted_index":{"\u200eThis":[0],"paper":[1],"investigates":[2],"degree":[3,48,52,78],"deviation":[4,49],"and":[5,17,29,36,50,66,76,91],"variance":[6,53],"in":[7,33,99],"graph":[8,27,74,89],"theory\u200e,":[9],"\u200ewith":[10],"a":[11,93],"specific":[12],"focus":[13],"on":[14],"$k$-regular":[15],"graphs":[16],"subdivision":[18],"of":[19,45,59,63,88],"graphs\u200e.":[20],"\u200eThese":[21],"metrics":[22],"are":[23],"fundamental":[24],"for":[25,96],"characterizing":[26],"irregularity":[28,90],"have":[30],"significant":[31],"applications":[32],"network":[34],"analysis":[35],"the":[37,56,71,85],"social":[38],"sciences\u200e.\u200eFurthermore\u200e,":[39],"\u200ewe":[40,69],"introduce":[41],"novel":[42],"geometric":[43,51,57],"measures":[44],"irregularity\u200e,":[46],"\u200egeometric":[47],"derived":[54],"from":[55],"mean":[58],"vertex":[60],"degrees\u200e.\u200eBy":[61],"means":[62],"rigorous":[64],"theorems":[65],"illustrative":[67],"examples\u200e,":[68],"explore":[70],"relationships":[72],"between":[73],"structures":[75],"their":[77],"properties\u200e.":[79],"\u200eOur":[80],"findings":[81],"seek":[82],"to":[83],"advance":[84],"current":[86],"understanding":[87],"provide":[92],"solid":[94],"foundation":[95],"future":[97],"research":[98],"this":[100],"area\u200e.":[101]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-08-20T00:00:00"}