{"id":"https://openalex.org/W2086953881","doi":"https://doi.org/10.1080/00207160214650","title":"Vertex-Magic Total Labelings Of Generalized Petersen Graphs","display_name":"Vertex-Magic Total Labelings Of Generalized Petersen Graphs","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2086953881","doi":"https://doi.org/10.1080/00207160214650","mag":"2086953881"},"language":"en","primary_location":{"id":"doi:10.1080/00207160214650","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160214650","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5107845547","display_name":"Martin Bac\u02c7A","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Martin Bac\u02c7A","raw_affiliation_strings":["Department of Applied Mathematics , Technical University , Kos\u02c7ice, 04200, Slovak Republic E-mail: hollbaca@ccsun.tuke.sk"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics , Technical University , Kos\u02c7ice, 04200, Slovak Republic E-mail: hollbaca@ccsun.tuke.sk","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112079337","display_name":"Mirka Miller","orcid":null},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Mirka Miller","raw_affiliation_strings":["Department of Computer Science and Software Engineering , University of Newcastle , NSW, 2308, Australia E-mail: mirka,slamin}@cs.newcastle.edu.au"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Software Engineering , University of Newcastle , NSW, 2308, Australia E-mail: mirka,slamin}@cs.newcastle.edu.au","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034449171","display_name":"Slamin Slamin","orcid":null},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Slamin","raw_affiliation_strings":["Department of Computer Science and Software Engineering , University of Newcastle , NSW, 2308, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Software Engineering , University of Newcastle , NSW, 2308, Australia","institution_ids":["https://openalex.org/I78757542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5107845547"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.15209927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"79","issue":"12","first_page":"1259","last_page":"1263"},"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/T13913","display_name":"Blockchain Technology in Education and Learning","score":0.9089999794960022,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/combinatorics","display_name":"Combinatorics","score":0.8514326810836792},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7253367304801941},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7230986952781677},{"id":"https://openalex.org/keywords/magic","display_name":"MAGIC (telescope)","score":0.5759192705154419},{"id":"https://openalex.org/keywords/edge-graceful-labeling","display_name":"Edge-graceful labeling","score":0.5018618106842041},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.4457651376724243},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4250856637954712},{"id":"https://openalex.org/keywords/graph-labeling","display_name":"Graph labeling","score":0.4189390540122986},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41605180501937866},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.12681293487548828},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.09628146886825562},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09521356225013733}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8514326810836792},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7253367304801941},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7230986952781677},{"id":"https://openalex.org/C2777704519","wikidata":"https://www.wikidata.org/wiki/Q45732","display_name":"MAGIC (telescope)","level":2,"score":0.5759192705154419},{"id":"https://openalex.org/C150433608","wikidata":"https://www.wikidata.org/wiki/Q5337633","display_name":"Edge-graceful labeling","level":5,"score":0.5018618106842041},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.4457651376724243},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4250856637954712},{"id":"https://openalex.org/C166513658","wikidata":"https://www.wikidata.org/wiki/Q5597093","display_name":"Graph labeling","level":5,"score":0.4189390540122986},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41605180501937866},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.12681293487548828},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.09628146886825562},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09521356225013733},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160214650","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160214650","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W102271769","https://openalex.org/W1590323259","https://openalex.org/W1968103577","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2902222102","https://openalex.org/W2186458673","https://openalex.org/W115645095","https://openalex.org/W3215888473","https://openalex.org/W3187629674","https://openalex.org/W3119677583","https://openalex.org/W3176408888","https://openalex.org/W2169820283","https://openalex.org/W2588867027","https://openalex.org/W3038532101"],"abstract_inverted_index":{"A":[0],"vertex-magic":[1,69],"total":[2,70],"labeling":[3,71],"of":[4,18,32,40,57,60],"a":[5,44,54,68],"graph":[6],"G=(V,":[7],"E)":[8],"with":[9,34],"v":[10,24],"vertices":[11,29],"and":[12,30,46],"e":[13,26],"edges":[14,31,52],"is":[15,53],"an":[16],"assignment":[17],"the":[19,28,35,38,41,47,58,61,73],"integers":[20],"from":[21],"1":[22],"to":[23,27],"+":[25],"G":[33],"property":[36],"that":[37],"sum":[39],"label":[42],"on":[43,49],"vertex":[45],"labels":[48],"its":[50],"incident":[51],"constant,":[55],"independent":[56],"choice":[59],"vertex.":[62],"In":[63],"this":[64],"paper":[65],"we":[66],"give":[67],"for":[72,79],"generalized":[74],"Petersen":[75],"graphs":[76],"P(n,":[77],"m)":[78],"all":[80],"n@3,1@m\u230a(n\u22121)/2\u230b.":[81]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}