{"id":"https://openalex.org/W1515663286","doi":"https://doi.org/10.37236/5465","title":"Regular Graphs are Antimagic","display_name":"Regular Graphs are Antimagic","publication_year":2015,"publication_date":"2015-09-11","ids":{"openalex":"https://openalex.org/W1515663286","doi":"https://doi.org/10.37236/5465","mag":"1515663286"},"language":"en","primary_location":{"id":"doi:10.37236/5465","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5465","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/5465","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064012507","display_name":"Krist\u00f3f B\u00e9rczi","orcid":"https://orcid.org/0000-0003-0457-4573"},"institutions":[{"id":"https://openalex.org/I4210132479","display_name":"Calvary Hospital","ror":"https://ror.org/041c7s516","country_code":"AU","type":"healthcare","lineage":["https://openalex.org/I4210132479"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Krist\u00f3f B\u00e9rczi","raw_affiliation_strings":["MTA-ELTE Egerv\u00e1ry Research Group","#R##N#MTA-ELTE Egerv\u00e1ry Research Group"],"affiliations":[{"raw_affiliation_string":"MTA-ELTE Egerv\u00e1ry Research Group","institution_ids":["https://openalex.org/I4210132479"]},{"raw_affiliation_string":"#R##N#MTA-ELTE Egerv\u00e1ry Research Group","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033583483","display_name":"Attila Bern\u00e1th","orcid":"https://orcid.org/0000-0003-4574-4129"},"institutions":[{"id":"https://openalex.org/I4210132479","display_name":"Calvary Hospital","ror":"https://ror.org/041c7s516","country_code":"AU","type":"healthcare","lineage":["https://openalex.org/I4210132479"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Attila Bern\u00e1th","raw_affiliation_strings":["MTA-ELTE Egerv\u00e1ry Research Group","#R##N#MTA-ELTE Egerv\u00e1ry Research Group"],"affiliations":[{"raw_affiliation_string":"MTA-ELTE Egerv\u00e1ry Research Group","institution_ids":["https://openalex.org/I4210132479"]},{"raw_affiliation_string":"#R##N#MTA-ELTE Egerv\u00e1ry Research Group","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018834142","display_name":"M\u00e1t\u00e9 Vizer","orcid":"https://orcid.org/0000-0002-2360-3918"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"M\u00e1t\u00e9 Vizer","raw_affiliation_strings":["MTA Alfr\u00e9d R\u00e9nyi Institute of Mathematics"],"affiliations":[{"raw_affiliation_string":"MTA Alfr\u00e9d R\u00e9nyi Institute of Mathematics","institution_ids":["https://openalex.org/I127817813"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064012507"],"corresponding_institution_ids":["https://openalex.org/I4210132479"],"apc_list":null,"apc_paid":null,"fwci":5.6082,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.9626005,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"22","issue":"3","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":1.0,"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":1.0,"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":0.9649999737739563,"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":0.9466000199317932,"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/mathematics","display_name":"Mathematics","score":0.8666949272155762},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.7934809327125549},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7877175807952881},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6769731044769287},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.6131693720817566},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.5177282691001892},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4181339144706726},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37667015194892883}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8666949272155762},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.7934809327125549},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7877175807952881},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6769731044769287},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.6131693720817566},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.5177282691001892},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4181339144706726},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37667015194892883},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/5465","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5465","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/5465","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5465","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W10515787","https://openalex.org/W1608199112","https://openalex.org/W2112641412","https://openalex.org/W2592055188","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1492157759","https://openalex.org/W2655188380","https://openalex.org/W2963000151","https://openalex.org/W2742781961","https://openalex.org/W1656421143","https://openalex.org/W2962729062","https://openalex.org/W2886974128","https://openalex.org/W2811294698","https://openalex.org/W2239937566","https://openalex.org/W2144885513"],"abstract_inverted_index":{"An":[0],"undirected":[1],"simple":[2],"graph":[3],"$G=(V,E)$":[4],"is":[5],"called":[6],"antimagic":[7,52],"if":[8],"there":[9],"exists":[10],"an":[11,41],"injective":[12],"function":[13],"$f:E\\rightarrow\\{1,\\dots,|E|\\}$":[14],"such":[15],"that":[16,48],"$\\sum_{e\\in":[17],"E(u)}":[18],"f(e)\\neq\\sum_{e\\in":[19],"E(v)}":[20],"f(e)$":[21],"for":[22,53],"any":[23],"pair":[24],"of":[25,40,43],"different":[26],"nodes":[27],"$u,v\\in":[28],"V$.":[29],"In":[30],"this":[31,61],"note":[32],"we":[33],"prove":[34],"\u2014":[35,47],"with":[36],"a":[37],"slight":[38],"modification":[39],"argument":[42],"Cranston":[44],"et":[45],"al.":[46],"$k$-regular":[49],"graphs":[50],"are":[51],"$k\\ge":[54],"2$.":[55],"A":[56],"corrigendum":[57],"was":[58],"added":[59],"to":[60],"paper":[62],"on":[63],"May":[64],"2,":[65],"2019.":[66]},"counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
