{"id":"https://openalex.org/W4393941741","doi":"https://doi.org/10.1142/s1793830924500320","title":"Locally identifying coloring of corona product of graphs","display_name":"Locally identifying coloring of corona product of graphs","publication_year":2024,"publication_date":"2024-04-04","ids":{"openalex":"https://openalex.org/W4393941741","doi":"https://doi.org/10.1142/s1793830924500320"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830924500320","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500320","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":null,"display_name":"R. Pavithra","orcid":"https://orcid.org/0000-0001-7895-5091"},"institutions":[{"id":"https://openalex.org/I114176345","display_name":"University of Calicut","ror":"https://ror.org/05yeh3g67","country_code":"IN","type":"education","lineage":["https://openalex.org/I114176345"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. Pavithra","raw_affiliation_strings":["Department of Mathematics, Government College Chittur, (Affiliated to University of Calicut), Palakkad 678104, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0001-7895-5091","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government College Chittur, (Affiliated to University of Calicut), Palakkad 678104, Kerala, India","institution_ids":["https://openalex.org/I114176345"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044543335","display_name":"T. Reji","orcid":null},"institutions":[{"id":"https://openalex.org/I114176345","display_name":"University of Calicut","ror":"https://ror.org/05yeh3g67","country_code":"IN","type":"education","lineage":["https://openalex.org/I114176345"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"T. Reji","raw_affiliation_strings":["Department of Mathematics, Government College Chittur, (Affiliated to University of Calicut), Palakkad 678104, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0003-2712-3775","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government College Chittur, (Affiliated to University of Calicut), Palakkad 678104, Kerala, India","institution_ids":["https://openalex.org/I114176345"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114176345"],"apc_list":null,"apc_paid":null,"fwci":0.3126,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5629257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"17","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.992900013923645,"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":0.992900013923645,"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":0.9495999813079834,"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/T13991","display_name":"Nuclear Receptors and Signaling","score":0.9352999925613403,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.790168285369873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7088404297828674},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.565265953540802},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.47363677620887756},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4670836925506592},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4204961657524109},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33469054102897644},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0747160017490387}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.790168285369873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7088404297828674},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.565265953540802},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.47363677620887756},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4670836925506592},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4204961657524109},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33469054102897644},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0747160017490387}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830924500320","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500320","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":[{"id":"https://openalex.org/G3574270157","display_name":null,"funder_award_id":"JUNE18-411992","funder_id":"https://openalex.org/F4320320767","funder_display_name":"University Grants Commission"}],"funders":[{"id":"https://openalex.org/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1998597471","https://openalex.org/W2005160673","https://openalex.org/W2029105623","https://openalex.org/W2765098491","https://openalex.org/W4318023000"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2181667894","https://openalex.org/W2105223880","https://openalex.org/W2379048343","https://openalex.org/W4256403421","https://openalex.org/W2062039730","https://openalex.org/W2148696453","https://openalex.org/W2074120492","https://openalex.org/W2950817880","https://openalex.org/W3178681420"],"abstract_inverted_index":{"A":[0],"proper":[1],"vertex":[2,116,123],"coloring":[3],"of":[4,24,33,39,68,78,96,105,117,130,146,160,163],"a":[5,61],"graph":[6,90],"[Formula:":[7,21,40,44,52,57,69,75,81,85,97,101,106,113,118,126,131,136,140,151],"see":[8,22,41,45,53,58,70,76,82,86,98,102,107,114,119,127,132,137,141,152],"text]":[9,23,42,46,54,59,77,83,87,99,103,120,133,142],"is":[10,63,88],"said":[11],"to":[12,121],"be":[13],"locally":[14],"identifying":[15],"(lid-coloring)":[16],"if":[17],"for":[18,55,134],"any":[19],"pair":[20],"adjacent":[25],"vertices":[26],"with":[27],"distinct":[28],"closed":[29,37],"neighborhoods,":[30],"the":[31,36,65,89,112,125,144,149,157],"sets":[32],"colors":[34],"in":[35,124,148],"neighborhoods":[38],"and":[43,84,100,109],"are":[47],"different.":[48],"The":[49,72],"smallest":[50],"integer":[51],"which":[56],"admits":[60],"lid-coloring":[62],"called":[64],"lid-chromatic":[66,158],"number":[67,145,159],"text].":[71,153],"corona":[73,161],"product":[74,162],"two":[79],"graphs":[80,164],"obtained":[91],"by":[92],"taking":[93],"one":[94],"copy":[95,129],"copies":[104],"text],":[108,138],"then":[110],"joining":[111],"text]th":[115,128],"every":[122,135],"where":[139],"denotes":[143],"elements":[147],"set":[150],"In":[154],"this":[155],"paper,":[156],"has":[165],"been":[166],"studied.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}