{"id":"https://openalex.org/W3027906888","doi":"https://doi.org/10.1142/s1793830920500706","title":"Computing edge version of metric and double metric dimensions of Kayak paddle graphs","display_name":"Computing edge version of metric and double metric dimensions of Kayak paddle graphs","publication_year":2020,"publication_date":"2020-05-21","ids":{"openalex":"https://openalex.org/W3027906888","doi":"https://doi.org/10.1142/s1793830920500706","mag":"3027906888"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500706","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500706","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/A5015481784","display_name":"Muhammad Ahmad","orcid":"https://orcid.org/0000-0002-8989-2847"},"institutions":[{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Ahmad","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Johar Town, Lahore 54782, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Johar Town, Lahore 54782, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070266993","display_name":"Naeem Ameen","orcid":null},"institutions":[{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Naeem Ameen","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Johar Town, Lahore 54782, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Johar Town, Lahore 54782, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015814746","display_name":"Zohaib Zahid","orcid":"https://orcid.org/0000-0003-3797-7029"},"institutions":[{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Zohaib Zahid","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Johar Town, Lahore 54782, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Johar Town, Lahore 54782, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087407068","display_name":"Sohail Zafar","orcid":null},"institutions":[{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sohail Zafar","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, Johar Town, Lahore 54782, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, Johar Town, Lahore 54782, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015481784"],"corresponding_institution_ids":["https://openalex.org/I87482320"],"apc_list":null,"apc_paid":null,"fwci":1.2665,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84239299,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"12","issue":"05","first_page":"2050070","last_page":"2050070"},"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":0.9381999969482422,"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/T10985","display_name":"Sleep and Wakefulness Research","score":0.9359999895095825,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive 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/paddle","display_name":"Paddle","score":0.8669123649597168},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.7783891558647156},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5493459701538086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5151068568229675},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.44176003336906433},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3568068742752075},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35292932391166687},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3402807116508484},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3215080797672272},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24949043989181519},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11765798926353455}],"concepts":[{"id":"https://openalex.org/C165150422","wikidata":"https://www.wikidata.org/wiki/Q449573","display_name":"Paddle","level":2,"score":0.8669123649597168},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7783891558647156},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5493459701538086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5151068568229675},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.44176003336906433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3568068742752075},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35292932391166687},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3402807116508484},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3215080797672272},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24949043989181519},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11765798926353455},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500706","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500706","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":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1847515408","https://openalex.org/W1968625765","https://openalex.org/W1973911938","https://openalex.org/W1984462039","https://openalex.org/W2017012450","https://openalex.org/W2026014023","https://openalex.org/W2040179039","https://openalex.org/W2078833136","https://openalex.org/W2108442028","https://openalex.org/W2283013283","https://openalex.org/W2900101803","https://openalex.org/W4231597948"],"related_works":["https://openalex.org/W2089901852","https://openalex.org/W2017605127","https://openalex.org/W2308303652","https://openalex.org/W2768773817","https://openalex.org/W1933539706","https://openalex.org/W4389564241","https://openalex.org/W1539630152","https://openalex.org/W2092534976","https://openalex.org/W2046070390","https://openalex.org/W2369123878"],"abstract_inverted_index":{"Locating":[0],"the":[1,21,38],"source":[2],"of":[3,60],"diffusion":[4],"in":[5,41],"complex":[6],"networks":[7],"is":[8,15],"an":[9],"exciting":[10],"but":[11],"challenging":[12],"task.":[13],"It":[14],"critical":[16],"for":[17,48],"preventing":[18],"and":[19,52,62],"controlling":[20],"epidemic":[22],"risks.":[23],"Source":[24],"localization":[25,39],"has":[26],"been":[27],"studied":[28],"under":[29],"many":[30],"feasible":[31],"models.":[32],"In":[33],"this":[34],"paper,":[35],"we":[36],"discuss":[37],"problem":[40],"Kayak":[42],"paddle":[43],"graphs":[44],"[Formula:":[45,49,53],"see":[46,50,54],"text]":[47,51,55],"by":[56],"computing":[57],"edge":[58],"version":[59],"metric":[61,64],"double":[63],"dimensions.":[65]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}