{"id":"https://openalex.org/W2766562324","doi":"https://doi.org/10.1142/s1793830917500719","title":"Total irregularity strength of disjoint union of isomorphic copies of generalized Petersen graph","display_name":"Total irregularity strength of disjoint union of isomorphic copies of generalized Petersen graph","publication_year":2017,"publication_date":"2017-10-19","ids":{"openalex":"https://openalex.org/W2766562324","doi":"https://doi.org/10.1142/s1793830917500719","mag":"2766562324"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830917500719","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500719","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/A5087441536","display_name":"Muhammad Naeem","orcid":"https://orcid.org/0000-0002-8132-1580"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Naeem","raw_affiliation_strings":["Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032531659","display_name":"Muhammad Kamran Siddiqui","orcid":"https://orcid.org/0000-0002-2607-4847"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Kamran Siddiqui","raw_affiliation_strings":["Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087441536"],"corresponding_institution_ids":["https://openalex.org/I16076960"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.1892302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"09","issue":"06","first_page":"1750071","last_page":"1750071"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11708","display_name":"Photochromic and Fluorescence Chemistry","score":0.944100022315979,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7160685658454895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6199848055839539},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5392611622810364},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5225481390953064}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7160685658454895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6199848055839539},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5392611622810364},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5225481390953064}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830917500719","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500719","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":[{"score":0.49000000953674316,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1968103577","https://openalex.org/W1978813738","https://openalex.org/W2002265161","https://openalex.org/W2004205539","https://openalex.org/W2012120421","https://openalex.org/W2022581666","https://openalex.org/W2087085869","https://openalex.org/W2093286909","https://openalex.org/W2101606036","https://openalex.org/W2118280146","https://openalex.org/W2175996349","https://openalex.org/W2344366566","https://openalex.org/W2408690479"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2099195351","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,10,18,22,30,34,38,42,50,54,58,62,66,70,75,82,90,100,105,121],"see":[2,11,19,23,31,35,39,43,51,55,59,63,67,71,76,83,91,101,106,122],"text]":[3,12,24,32,36,40,44,52,56,60,64,68,72,77,84,107,123],"be":[4],"a":[5,80,86],"graph.":[6,129],"A":[7],"total":[8,17,89,96,114],"labeling":[9],"is":[13,93],"called":[14,94],"totally":[15,87],"irregular":[16,88],"text]-labeling":[20,92],"of":[21,99,117,120,126],"if":[25],"every":[26,46],"two":[27,47],"distinct":[28,48],"vertices":[29],"and":[33,45,53,69],"in":[37,57],"satisfy":[41,61],"edges":[49],"where":[65],"The":[73],"minimum":[74],"for":[78],"which":[79],"graph":[81],"has":[85],"the":[95,113],"irregularity":[97,115],"strength":[98,116],"text],":[102],"denoted":[103],"by":[104],"In":[108],"this":[109],"paper,":[110],"we":[111],"determined":[112],"disjoint":[118],"union":[119],"isomorphic":[124],"copies":[125],"generalized":[127],"Petersen":[128]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}