{"id":"https://openalex.org/W3215578545","doi":"https://doi.org/10.1109/access.2021.3131311","title":"Local Fractional Strong Metric Dimension of Certain Rotationally Symmetric Planer Networks","display_name":"Local Fractional Strong Metric Dimension of Certain Rotationally Symmetric Planer Networks","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3215578545","doi":"https://doi.org/10.1109/access.2021.3131311","mag":"3215578545"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3131311","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3131311","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09627964.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09627964.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085815472","display_name":"Faiza Jamil","orcid":"https://orcid.org/0000-0002-6121-4219"},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Faiza Jamil","raw_affiliation_strings":["Department of Mathematics, School of Sciences, University of Management and Technology, Johar Town, Lahore, Pakistan","Department of Mathematics, School of Sciences and Technology, University of Management and Technology, C-II M. A Johar Town, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Sciences, University of Management and Technology, Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, School of Sciences and Technology, University of Management and Technology, C-II M. A Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210089805"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024660661","display_name":"Agha Kashif","orcid":"https://orcid.org/0000-0002-1097-3450"},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Agha Kashif","raw_affiliation_strings":["Department of Mathematics, School of Sciences, University of Management and Technology, Johar Town, Lahore, Pakistan","Department of Mathematics, School of Sciences and Technology, University of Management and Technology, C-II M. A Johar Town, Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-1097-3450","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Sciences, University of Management and Technology, Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, School of Sciences and Technology, University of Management and Technology, C-II M. A Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210089805"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087407068","display_name":"Sohail Zafar","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sohail Zafar","raw_affiliation_strings":["Department of Mathematics, School of Sciences, University of Management and Technology, Johar Town, Lahore, Pakistan","Department of Mathematics, School of Sciences and Technology, University of Management and Technology, C-II M. A Johar Town, Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-8177-7799","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Sciences, University of Management and Technology, Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, School of Sciences and Technology, University of Management and Technology, C-II M. A Johar Town, Lahore, Pakistan","institution_ids":["https://openalex.org/I4210089805"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031564954","display_name":"Zaid Bassfar","orcid":"https://orcid.org/0000-0003-1172-885X"},"institutions":[{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Zaid Bassfar","raw_affiliation_strings":["Department of Information Technology, University of Tabuk, Tabuk, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-1172-885X","affiliations":[{"raw_affiliation_string":"Department of Information Technology, University of Tabuk, Tabuk, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047881296","display_name":"Abdulaziz M. Alanazi","orcid":"https://orcid.org/0000-0002-7909-2539"},"institutions":[{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Abdulaziz Mohammed Alanazi","raw_affiliation_strings":["Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia","Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-7909-2539","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]},{"raw_affiliation_string":"Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5085815472"],"corresponding_institution_ids":["https://openalex.org/I4210089805"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6056,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7338996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"9","issue":null,"first_page":"159326","last_page":"159333"},"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/T11476","display_name":"Graph theory and applications","score":0.9050999879837036,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/modularity","display_name":"Modularity (biology)","score":0.6646321415901184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6473548412322998},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6220670342445374},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5856701135635376},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5169293284416199},{"id":"https://openalex.org/keywords/geometric-networks","display_name":"Geometric networks","score":0.4366319179534912},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.42694610357284546},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4193037748336792},{"id":"https://openalex.org/keywords/scope","display_name":"Scope (computer science)","score":0.41358238458633423},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40570488572120667},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34090936183929443},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.23553726077079773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20982065796852112},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09832826256752014}],"concepts":[{"id":"https://openalex.org/C2779478453","wikidata":"https://www.wikidata.org/wiki/Q6889748","display_name":"Modularity (biology)","level":2,"score":0.6646321415901184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6473548412322998},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6220670342445374},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5856701135635376},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5169293284416199},{"id":"https://openalex.org/C49777392","wikidata":"https://www.wikidata.org/wiki/Q5535495","display_name":"Geometric networks","level":3,"score":0.4366319179534912},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.42694610357284546},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4193037748336792},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.41358238458633423},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40570488572120667},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34090936183929443},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.23553726077079773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20982065796852112},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09832826256752014},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3131311","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3131311","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09627964.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0eba56f03e394546836996c6d4a555fc","is_oa":true,"landing_page_url":"https://doaj.org/article/0eba56f03e394546836996c6d4a555fc","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 159326-159333 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3131311","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3131311","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09627964.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3215578545.pdf","grobid_xml":"https://content.openalex.org/works/W3215578545.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1561272249","https://openalex.org/W1911451701","https://openalex.org/W1927299888","https://openalex.org/W1973911938","https://openalex.org/W2026014023","https://openalex.org/W2037298352","https://openalex.org/W2059749917","https://openalex.org/W2073490544","https://openalex.org/W2086552038","https://openalex.org/W2105232761","https://openalex.org/W2138978865","https://openalex.org/W2493040154","https://openalex.org/W2741658183","https://openalex.org/W2769822075","https://openalex.org/W2894846604","https://openalex.org/W2908632759","https://openalex.org/W2938479671","https://openalex.org/W2952434773","https://openalex.org/W2990034176","https://openalex.org/W3021044933","https://openalex.org/W3100762998","https://openalex.org/W6755448687","https://openalex.org/W6770270118"],"related_works":["https://openalex.org/W4230687177","https://openalex.org/W1968829728","https://openalex.org/W2349859869","https://openalex.org/W2051365847","https://openalex.org/W2367249529","https://openalex.org/W2159201125","https://openalex.org/W2969315045","https://openalex.org/W2941372263","https://openalex.org/W4288374867","https://openalex.org/W2244663144"],"abstract_inverted_index":{"Fractional":[0],"versions":[1],"of":[2,10,14,50,70,80,88,115,125],"metric":[3,112],"based":[4],"networks":[5,52,63,82],"invariants":[6],"widen":[7],"the":[8,44,51,68,78,93],"scope":[9],"application":[11],"in":[12,43,67,85],"fields":[13,69],"intelligent":[15],"systems,":[16],"computer":[17],"science":[18],"and":[19,36,57,61,75,91,96],"chemistry":[20,76],"including,":[21],"robot":[22,71],"navigation,":[23,72],"sensor":[24],"networking,":[25,73],"linear":[26],"optimization":[27],"problems,":[28,33],"scheduling,":[29],"assignment,":[30],"operation":[31],"research":[32],"image":[34],"processing":[35],"drug":[37],"discovery.":[38],"It":[39],"plays":[40],"vital":[41],"role":[42],"study":[45],"to":[46,107,122],"check":[47],"structural":[48],"properties":[49],"such":[53],"as":[54],"complexity,":[55],"modularity":[56],"accessibility.":[58],"Rotationally":[59],"symmetric":[60,128],"planer":[62,129],"have":[64],"key":[65],"importance":[66],"telecommunication":[74],"due":[77],"structure":[79],"these":[81],"which":[83],"help":[84],"optimal":[86],"rate":[87],"data":[89],"transfer":[90],"minimize":[92],"time":[94],"taken":[95],"resources":[97],"used.":[98],"In":[99],"this":[100],"paper":[101],"we":[102],"introduce":[103],"a":[104],"combinatorial":[105],"technique":[106,118],"compute":[108,123],"local":[109],"fractional":[110],"strong":[111],"dimension":[113],"(LFSMD)":[114],"networks.":[116,130],"The":[117],"is":[119],"further":[120],"used":[121],"LFSMD":[124],"certain":[126],"rotationally":[127]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
