{"id":"https://openalex.org/W4392029418","doi":"https://doi.org/10.1007/s12190-024-02011-9","title":"Chromatic polynomial of a picture fuzzy graph with application in traffic light control","display_name":"Chromatic polynomial of a picture fuzzy graph with application in traffic light control","publication_year":2024,"publication_date":"2024-02-22","ids":{"openalex":"https://openalex.org/W4392029418","doi":"https://doi.org/10.1007/s12190-024-02011-9"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02011-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02011-9","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5101835957","display_name":"Qamar Abbas","orcid":"https://orcid.org/0009-0009-9625-1894"},"institutions":[{"id":"https://openalex.org/I174731842","display_name":"Islamia University of Bahawalpur","ror":"https://ror.org/002rc4w13","country_code":"PK","type":"education","lineage":["https://openalex.org/I174731842"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Qamar Abbas","raw_affiliation_strings":["Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan","institution_ids":["https://openalex.org/I174731842"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005288992","display_name":"Ghulam Mustafa","orcid":"https://orcid.org/0000-0002-0441-8485"},"institutions":[{"id":"https://openalex.org/I174731842","display_name":"Islamia University of Bahawalpur","ror":"https://ror.org/002rc4w13","country_code":"PK","type":"education","lineage":["https://openalex.org/I174731842"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Ghulam Mustafa","raw_affiliation_strings":["Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-0441-8485","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan","institution_ids":["https://openalex.org/I174731842"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005288992"],"corresponding_institution_ids":["https://openalex.org/I174731842"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.5209,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82852707,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"70","issue":"2","first_page":"1395","last_page":"1418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.1720999926328659,"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"}},"topics":[{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.1720999926328659,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.10170000046491623,"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":0.07119999825954437,"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/mathematics","display_name":"Mathematics","score":0.7101142406463623},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.5451433658599854},{"id":"https://openalex.org/keywords/foster-graph","display_name":"Foster graph","score":0.5409579873085022},{"id":"https://openalex.org/keywords/windmill-graph","display_name":"Windmill graph","score":0.5226245522499084},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.51242595911026},{"id":"https://openalex.org/keywords/friendship-graph","display_name":"Friendship graph","score":0.4800106883049011},{"id":"https://openalex.org/keywords/traffic-signal","display_name":"Traffic signal","score":0.4741474986076355},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.44679003953933716},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.42292726039886475},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.4117293357849121},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36245492100715637},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3097430467605591},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20646512508392334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1787205934524536},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16893687844276428},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.137090265750885},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.1270621418952942}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7101142406463623},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.5451433658599854},{"id":"https://openalex.org/C68996132","wikidata":"https://www.wikidata.org/wiki/Q3115485","display_name":"Foster graph","level":5,"score":0.5409579873085022},{"id":"https://openalex.org/C73380178","wikidata":"https://www.wikidata.org/wiki/Q8024306","display_name":"Windmill graph","level":5,"score":0.5226245522499084},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.51242595911026},{"id":"https://openalex.org/C70488441","wikidata":"https://www.wikidata.org/wiki/Q5504427","display_name":"Friendship graph","level":5,"score":0.4800106883049011},{"id":"https://openalex.org/C2987419075","wikidata":"https://www.wikidata.org/wiki/Q8004","display_name":"Traffic signal","level":2,"score":0.4741474986076355},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.44679003953933716},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.42292726039886475},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.4117293357849121},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36245492100715637},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3097430467605591},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20646512508392334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1787205934524536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16893687844276428},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.137090265750885},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1270621418952942},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02011-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02011-9","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1505735190","https://openalex.org/W1965958008","https://openalex.org/W1983286635","https://openalex.org/W1995972849","https://openalex.org/W2008263650","https://openalex.org/W2019529630","https://openalex.org/W2058544141","https://openalex.org/W2140523182","https://openalex.org/W2246295525","https://openalex.org/W2305633648","https://openalex.org/W2611011107","https://openalex.org/W2767160721","https://openalex.org/W2901760160","https://openalex.org/W2910334712","https://openalex.org/W2920909352","https://openalex.org/W2941942549","https://openalex.org/W2943461413","https://openalex.org/W2944910080","https://openalex.org/W3003142012","https://openalex.org/W3009028655","https://openalex.org/W3015139904","https://openalex.org/W3023849688","https://openalex.org/W3045502842","https://openalex.org/W3045598505","https://openalex.org/W3088324879","https://openalex.org/W3101721160","https://openalex.org/W3124245353","https://openalex.org/W3132543644","https://openalex.org/W3159266782","https://openalex.org/W3171281815","https://openalex.org/W3186561612","https://openalex.org/W3187482944","https://openalex.org/W3192095812","https://openalex.org/W3217708349","https://openalex.org/W4200075406","https://openalex.org/W4211007335","https://openalex.org/W4214567626","https://openalex.org/W4220852154","https://openalex.org/W4221065595","https://openalex.org/W4280563989","https://openalex.org/W4283703909","https://openalex.org/W4292417052","https://openalex.org/W4365816628","https://openalex.org/W4380879508","https://openalex.org/W4389081836","https://openalex.org/W4389203699"],"related_works":["https://openalex.org/W2332295289","https://openalex.org/W1989256506","https://openalex.org/W1508428315","https://openalex.org/W2389755993","https://openalex.org/W4248987388","https://openalex.org/W2802056929","https://openalex.org/W2355004170","https://openalex.org/W2140765647","https://openalex.org/W2092041285","https://openalex.org/W2080547399"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}