{"id":"https://openalex.org/W4250076004","doi":"https://doi.org/10.28919/jmcs/4437","title":"Misbalance degree matrix and related energy of graphs","display_name":"Misbalance degree matrix and related energy of graphs","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W4250076004","doi":"https://doi.org/10.28919/jmcs/4437","mag":"3006480766"},"language":"en","primary_location":{"id":"doi:10.28919/jmcs/4437","doi":"https://doi.org/10.28919/jmcs/4437","is_oa":true,"landing_page_url":"https://doi.org/10.28919/jmcs/4437","pdf_url":null,"source":{"id":"https://openalex.org/S2764352028","display_name":"Journal of Mathematical and Computational Science","issn_l":"1927-5307","issn":["1927-5307"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical and Computational Science","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.28919/jmcs/4437","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002593032","display_name":"Amitav Doley","orcid":"https://orcid.org/0000-0002-3817-5178","observed_orcids":["https://orcid.org/0000-0002-3817-5178"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Amitav Doley","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3817-5178","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110830572","display_name":"Budheswar Deka","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Budheswar Deka","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5055264030","display_name":"Ankur Bharali","orcid":"https://orcid.org/0000-0001-8642-3933","observed_orcids":["https://orcid.org/0000-0001-8642-3933"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Bharali","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8642-3933","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9011,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.63756922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"10","issue":"3","first_page":"436","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":1.0,"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":1.0,"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":0.0,"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":0.0,"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/graph-energy","display_name":"graph energy","score":0.48899999260902405},{"id":"https://openalex.org/keywords/estrada-index","display_name":"Estrada index","score":0.968999981880188},{"id":"https://openalex.org/keywords/graph-spectrum","display_name":"graph spectra","score":0.675000011920929},{"id":"https://openalex.org/keywords/subdivision-graphs","display_name":"subdivision graphs","score":0.6600000262260437},{"id":"https://openalex.org/keywords/total-graph","display_name":"total graph","score":0.9229999780654907},{"id":"https://openalex.org/keywords/regular-graphs","display_name":"regular graphs","score":0.9810000061988831}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8266682028770447},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7679166793823242},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.7053390741348267},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5423356890678406},{"id":"https://openalex.org/C162199024","wikidata":"https://www.wikidata.org/wiki/Q3085391","display_name":"Degree matrix","level":5,"score":0.5391241908073425},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49369654059410095},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4900549650192261},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.46845173835754395},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3963656723499298},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.3138197064399719},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.28919/jmcs/4437","doi":"https://doi.org/10.28919/jmcs/4437","is_oa":true,"landing_page_url":"https://doi.org/10.28919/jmcs/4437","pdf_url":null,"source":{"id":"https://openalex.org/S2764352028","display_name":"Journal of Mathematical and Computational Science","issn_l":"1927-5307","issn":["1927-5307"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical and Computational Science","raw_type":"journal-article"},{"id":"mag:3006480766","doi":null,"is_oa":false,"landing_page_url":"http://scik.org/index.php/jmcs/article/view/4437","pdf_url":null,"source":{"id":"https://openalex.org/S4306515112","display_name":"J. Math. Comput. Sci.","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":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"J. Math. Comput. Sci.","raw_type":null}],"best_oa_location":{"id":"doi:10.28919/jmcs/4437","doi":"https://doi.org/10.28919/jmcs/4437","is_oa":true,"landing_page_url":"https://doi.org/10.28919/jmcs/4437","pdf_url":null,"source":{"id":"https://openalex.org/S2764352028","display_name":"Journal of Mathematical and Computational Science","issn_l":"1927-5307","issn":["1927-5307"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical and Computational Science","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2889006246","https://openalex.org/W7220395681","https://openalex.org/W7215636506","https://openalex.org/W2955769837","https://openalex.org/W4388797330","https://openalex.org/W4395018165","https://openalex.org/W7049286646","https://openalex.org/W4405629005","https://openalex.org/W4205746804","https://openalex.org/W7167267198"],"abstract_inverted_index":{"Given":[0],"a":[1,52,79],"graph":[2,53],"G":[3,12],"=":[4,17],"(V,E),":[5],"the":[6,22,31,34,47],"Misbalance":[7],"deg":[8],"(MD)":[9],"index":[10,59,92],"of":[11,24,26,33,40,42,46,51,78],"is":[13,21,54,63],"defined":[14],"as":[15],"MD(G)":[16],"\u2211|du\u2212dv|,":[18],"where":[19],"E":[20],"set":[23,39],"edges":[25],"G,":[27],"and":[28,60,75,89],"du":[29],"be":[30],"degree":[32],"vertex":[35],"u":[36],"\u2208":[37],"V,":[38],"vertices":[41],"G.":[43],"A":[44],"modification":[45],"classical":[48],"adjacency":[49],"matrix":[50],"propose":[55],"based":[56],"on":[57],"MD":[58,87,90],"its":[61],"spectra":[62],"studied":[64],"in":[65],"connection":[66],"with":[67],"subdivision,":[68],"semitotal":[69,72],"point":[70],"graph,":[71,74],"line":[73],"total":[76],"graphs":[77],"regular":[80],"graph.":[81],"Analogously":[82],"two":[83],"new":[84],"concepts":[85],"namely":[86],"energy":[88],"estrada":[91],"are":[93],"also":[94],"coined":[95]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2022-05-12T00:00:00"}
