{"id":"https://openalex.org/W3108109490","doi":"https://doi.org/10.1142/s1793830921500610","title":"Chromatic Zagreb and irregularity polynomials of graphs","display_name":"Chromatic Zagreb and irregularity polynomials of graphs","publication_year":2020,"publication_date":"2020-11-21","ids":{"openalex":"https://openalex.org/W3108109490","doi":"https://doi.org/10.1142/s1793830921500610","mag":"3108109490"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921500610","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500610","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/A5063630724","display_name":"Smitha Rose","orcid":null},"institutions":[{"id":"https://openalex.org/I48018076","display_name":"Christ University","ror":"https://ror.org/022tv9y30","country_code":"IN","type":"education","lineage":["https://openalex.org/I48018076"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Smitha Rose","raw_affiliation_strings":["Department of Mathematics, Christ (Deemed to be University), Bengaluru, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Christ (Deemed to be University), Bengaluru, India","institution_ids":["https://openalex.org/I48018076"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077951708","display_name":"Sudev Naduvath","orcid":"https://orcid.org/0000-0001-9692-4053"},"institutions":[{"id":"https://openalex.org/I48018076","display_name":"Christ University","ror":"https://ror.org/022tv9y30","country_code":"IN","type":"education","lineage":["https://openalex.org/I48018076"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sudev Naduvath","raw_affiliation_strings":["Department of Mathematics, Christ (Deemed to be University), Bengaluru, India"],"raw_orcid":"https://orcid.org/0000-0001-9692-4053","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Christ (Deemed to be University), Bengaluru, India","institution_ids":["https://openalex.org/I48018076"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063630724"],"corresponding_institution_ids":["https://openalex.org/I48018076"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.25179063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"13","issue":"05","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":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9991000294685364,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9987000226974487,"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":0.9941999912261963,"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/combinatorics","display_name":"Combinatorics","score":0.7673553228378296},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.7564343214035034},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.7055683135986328},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.677237868309021},{"id":"https://openalex.org/keywords/brooks-theorem","display_name":"Brooks' theorem","score":0.6769707798957825},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.6645247936248779},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.6542713046073914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6388838887214661},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.6021342277526855},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.5443094372749329},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.521169900894165},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40160736441612244},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3890461325645447},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.23345062136650085},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.1832025647163391},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.17531540989875793},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.07512396574020386}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7673553228378296},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.7564343214035034},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.7055683135986328},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.677237868309021},{"id":"https://openalex.org/C51658606","wikidata":"https://www.wikidata.org/wiki/Q512897","display_name":"Brooks' theorem","level":5,"score":0.6769707798957825},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.6645247936248779},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.6542713046073914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6388838887214661},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.6021342277526855},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.5443094372749329},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.521169900894165},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40160736441612244},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3890461325645447},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.23345062136650085},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.1832025647163391},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.17531540989875793},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07512396574020386}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921500610","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500610","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1579049696","https://openalex.org/W2086449672","https://openalex.org/W2103692654","https://openalex.org/W2237833425","https://openalex.org/W2962701847","https://openalex.org/W3141776272","https://openalex.org/W3201153891","https://openalex.org/W4232896595","https://openalex.org/W4233687788","https://openalex.org/W4242287981"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4297911588","https://openalex.org/W1995859989","https://openalex.org/W2793500002","https://openalex.org/W2585997002","https://openalex.org/W3169197204","https://openalex.org/W4296943582","https://openalex.org/W3157287446","https://openalex.org/W2175082514","https://openalex.org/W151506147"],"abstract_inverted_index":{"Graph":[0],"coloring":[1,44,62,78],"is":[2,36,50],"an":[3],"assignment":[4],"of":[5,12,22,48,75,82,89],"colors,":[6],"labels":[7],"or":[8],"weights":[9],"to":[10,16],"elements":[11],"a":[13,23,27],"graph":[14,24],"subject":[15],"certain":[17],"constraints.":[18],"Coloring":[19],"the":[20],"vertices":[21,31],"in":[25,53,73],"such":[26,84],"way":[28],"that":[29],"adjacent":[30],"are":[32],"having":[33],"different":[34],"colors":[35,49],"called":[37,65],"proper":[38,42],"vertex":[39,43],"coloring.":[40],"A":[41],"using":[45],"minimum":[46],"parameters":[47],"studied":[51],"extensively":[52],"recent":[54],"literature.":[55],"In":[56],"this":[57],"paper,":[58],"we":[59],"define":[60],"new":[61],"related":[63],"polynomials,":[64,72],"chromatic":[66,70],"Zagreb":[67],"polynomials":[68],"and":[69,79,87],"irregularity":[71],"terms":[74],"minimal":[76],"parameter":[77],"structural":[80],"characteristics":[81],"graphs":[83],"as":[85],"distances":[86],"degrees":[88],"vertices.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
