{"id":"https://openalex.org/W2061353424","doi":"https://doi.org/10.5614/ejgta.2013.1.1.3","title":"On d-antimagic labelings of plane graphs","display_name":"On d-antimagic labelings of plane graphs","publication_year":2013,"publication_date":"2013-04-30","ids":{"openalex":"https://openalex.org/W2061353424","doi":"https://doi.org/10.5614/ejgta.2013.1.1.3","mag":"2061353424"},"language":"en","primary_location":{"id":"doi:10.5614/ejgta.2013.1.1.3","is_oa":true,"landing_page_url":"https://doi.org/10.5614/ejgta.2013.1.1.3","pdf_url":"https://ejgta.org/index.php/ejgta/article/download/16/3","source":{"id":"https://openalex.org/S4210230765","display_name":"Electronic Journal of Graph Theory and Applications","issn_l":"2338-2287","issn":["2338-2287"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315132","host_organization_name":"Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Austr","host_organization_lineage":["https://openalex.org/P4310315132"],"host_organization_lineage_names":["Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Austr"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Journal of Graph Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ejgta.org/index.php/ejgta/article/download/16/3","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046747547","display_name":"Martin Ba\u010da","orcid":"https://orcid.org/0000-0002-5758-0347"},"institutions":[{"id":"https://openalex.org/I183764125","display_name":"Technical University of Ko\u0161ice","ror":"https://ror.org/05xm08015","country_code":"SK","type":"education","lineage":["https://openalex.org/I183764125"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Martin Baca","raw_affiliation_strings":["Department of Applied Mathematics and Informatics, Technical University, Kosice"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Informatics, Technical University, Kosice","institution_ids":["https://openalex.org/I183764125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030470010","display_name":"Ljiljana Brankovi\u0107","orcid":"https://orcid.org/0000-0002-5056-4627"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ljiljana Brankovic","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, The University of Newcatle"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, The University of Newcatle","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059453306","display_name":"Marcela Lasc\u015bakov\u00e1","orcid":"https://orcid.org/0000-0002-7968-960X"},"institutions":[{"id":"https://openalex.org/I183764125","display_name":"Technical University of Ko\u0161ice","ror":"https://ror.org/05xm08015","country_code":"SK","type":"education","lineage":["https://openalex.org/I183764125"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Marcela Lascsakova","raw_affiliation_strings":["Department of Applied Mathematics and Informatics, Technical University, Kosice"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Informatics, Technical University, Kosice","institution_ids":["https://openalex.org/I183764125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037126692","display_name":"Oudone Phanalasy","orcid":null},"institutions":[{"id":"https://openalex.org/I43895496","display_name":"National University of Laos","ror":"https://ror.org/031xne895","country_code":"LA","type":"education","lineage":["https://openalex.org/I43895496"]}],"countries":["LA"],"is_corresponding":false,"raw_author_name":"Oudone Phanalasy","raw_affiliation_strings":["Department of Mathematics, National University of Laos,  Vientiane"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Laos,  Vientiane","institution_ids":["https://openalex.org/I43895496"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033804594","display_name":"Andrea Semani\u010dov\u00e1\u2013Fe\u0148ov\u010d\u00edkov\u00e1","orcid":"https://orcid.org/0000-0002-8432-9836"},"institutions":[{"id":"https://openalex.org/I183764125","display_name":"Technical University of Ko\u0161ice","ror":"https://ror.org/05xm08015","country_code":"SK","type":"education","lineage":["https://openalex.org/I183764125"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Andrea Semanicova\u2013Fenovc\u0131kova","raw_affiliation_strings":["Department of Applied Mathematics and Informatics, Technical University, Kosice"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Informatics, Technical University, Kosice","institution_ids":["https://openalex.org/I183764125"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7449,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.73979414,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"1","issue":"1","first_page":"28","last_page":"39"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8210009336471558},{"id":"https://openalex.org/keywords/edge-graceful-labeling","display_name":"Edge-graceful labeling","score":0.7503795027732849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7118819952011108},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5753228664398193},{"id":"https://openalex.org/keywords/arithmetic-progression","display_name":"Arithmetic progression","score":0.5664460062980652},{"id":"https://openalex.org/keywords/graph-labeling","display_name":"Graph labeling","score":0.556648850440979},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5196869969367981},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.45249906182289124},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4128193259239197},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39484772086143494},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.3688502907752991},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15119758248329163},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.1306987702846527},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10164323449134827}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8210009336471558},{"id":"https://openalex.org/C150433608","wikidata":"https://www.wikidata.org/wiki/Q5337633","display_name":"Edge-graceful labeling","level":5,"score":0.7503795027732849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7118819952011108},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5753228664398193},{"id":"https://openalex.org/C130498168","wikidata":"https://www.wikidata.org/wiki/Q170008","display_name":"Arithmetic progression","level":2,"score":0.5664460062980652},{"id":"https://openalex.org/C166513658","wikidata":"https://www.wikidata.org/wiki/Q5597093","display_name":"Graph labeling","level":5,"score":0.556648850440979},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5196869969367981},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.45249906182289124},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4128193259239197},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39484772086143494},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.3688502907752991},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15119758248329163},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.1306987702846527},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10164323449134827},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5614/ejgta.2013.1.1.3","is_oa":true,"landing_page_url":"https://doi.org/10.5614/ejgta.2013.1.1.3","pdf_url":"https://ejgta.org/index.php/ejgta/article/download/16/3","source":{"id":"https://openalex.org/S4210230765","display_name":"Electronic Journal of Graph Theory and Applications","issn_l":"2338-2287","issn":["2338-2287"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315132","host_organization_name":"Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Austr","host_organization_lineage":["https://openalex.org/P4310315132"],"host_organization_lineage_names":["Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Austr"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Journal of Graph Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9882a89a95ff4063b4665f6da1e79fe3","is_oa":true,"landing_page_url":"https://doaj.org/article/9882a89a95ff4063b4665f6da1e79fe3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Graph Theory and Applications, Vol 1, Iss 1, Pp 28-39 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.5614/ejgta.2013.1.1.3","is_oa":true,"landing_page_url":"https://doi.org/10.5614/ejgta.2013.1.1.3","pdf_url":"https://ejgta.org/index.php/ejgta/article/download/16/3","source":{"id":"https://openalex.org/S4210230765","display_name":"Electronic Journal of Graph Theory and Applications","issn_l":"2338-2287","issn":["2338-2287"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315132","host_organization_name":"Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Austr","host_organization_lineage":["https://openalex.org/P4310315132"],"host_organization_lineage_names":["Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Austr"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Journal of Graph Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1779758021","display_name":"Probl\u00e9my v ohodnoteniach a zafarbeniach grafov","funder_award_id":"1/0130/12","funder_id":"https://openalex.org/F4320323641","funder_display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV"}],"funders":[{"id":"https://openalex.org/F4320323641","display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV","ror":"https://ror.org/044gwpv05"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2061353424.pdf","grobid_xml":"https://content.openalex.org/works/W2061353424.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W24363857","https://openalex.org/W138041031","https://openalex.org/W1668088927","https://openalex.org/W1999792423","https://openalex.org/W2005121095","https://openalex.org/W2112641412","https://openalex.org/W2614602161","https://openalex.org/W4285719527","https://openalex.org/W4300108389","https://openalex.org/W6600157417","https://openalex.org/W6607361109","https://openalex.org/W6725462953"],"related_works":["https://openalex.org/W2924691597","https://openalex.org/W2186458673","https://openalex.org/W115645095","https://openalex.org/W3215888473","https://openalex.org/W2406367216","https://openalex.org/W2061353424","https://openalex.org/W2771955575","https://openalex.org/W1992499990","https://openalex.org/W4288436438","https://openalex.org/W4392192461"],"abstract_inverted_index":{"The":[0],"paper":[1,87],"deals":[2],"with":[3,65],"the":[4,8,21,24,56,77,83,86,90],"problem":[5],"of":[6,12,23,36,41,92,98],"labeling":[7,40,72],"vertices":[9,25],"and":[10,26],"edges":[11,27],"a":[13,18,34,42,66,71],"plane":[14,43,99],"graph":[15,44],"in":[16],"such":[17,93],"way":[19],"that":[20,29,37],"labels":[22,80],"surrounding":[28],"face":[30,59],"add":[31],"up":[32],"to":[33],"weight":[35],"face.":[38],"A":[39],"is":[45,73],"called":[46,74],"d":[47,68],"-antimagic":[48],"if":[49,76],"for":[50,95],"every":[51],"positive":[52],"integer":[53],"s":[54,57],",":[55],"-sided":[58],"weights":[60],"form":[61],"an":[62],"arithmetic":[63],"progression":[64],"difference":[67],".":[69],"Such":[70],"super":[75],"smallest":[78],"possible":[79],"appear":[81],"on":[82],"vertices.":[84],"In":[85],"we":[88],"examine":[89],"existence":[91],"labelings":[94],"several":[96],"families":[97],"graphs.":[100]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}