{"id":"https://openalex.org/W2954522205","doi":"https://doi.org/10.1142/s1793830919500447","title":"Maximal labeling of graphs","display_name":"Maximal labeling of graphs","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2954522205","doi":"https://doi.org/10.1142/s1793830919500447","mag":"2954522205"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830919500447","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500447","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/A5086650507","display_name":"Arti Sharma","orcid":"https://orcid.org/0000-0003-0414-1962"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Arti Sharma","raw_affiliation_strings":["Department of Mathematics, University of Delhi, Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Delhi, Delhi, India","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058735498","display_name":"Atul Gaur","orcid":"https://orcid.org/0000-0002-8723-4541"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Atul Gaur","raw_affiliation_strings":["Department of Mathematics, University of Delhi, Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Delhi, Delhi, India","institution_ids":["https://openalex.org/I110166357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086650507"],"corresponding_institution_ids":["https://openalex.org/I110166357"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17192531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"04","first_page":"1950044","last_page":"1950044"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9958000183105469,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.8763942718505859},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7976776361465454},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5553857684135437},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5126906633377075},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.4750266671180725},{"id":"https://openalex.org/keywords/edge-graceful-labeling","display_name":"Edge-graceful labeling","score":0.4122687876224518},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.4081496000289917},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3904363512992859},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.38173869252204895},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2704616189002991},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.19543147087097168}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8763942718505859},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7976776361465454},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5553857684135437},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5126906633377075},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.4750266671180725},{"id":"https://openalex.org/C150433608","wikidata":"https://www.wikidata.org/wiki/Q5337633","display_name":"Edge-graceful labeling","level":5,"score":0.4122687876224518},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.4081496000289917},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3904363512992859},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.38173869252204895},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2704616189002991},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.19543147087097168}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830919500447","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500447","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":[],"awards":[{"id":"https://openalex.org/G8399838171","display_name":null,"funder_award_id":"09/045(1142)/2011-EMR-I","funder_id":"https://openalex.org/F4320320721","funder_display_name":"Council of Scientific and Industrial Research, India"}],"funders":[{"id":"https://openalex.org/F4320320721","display_name":"Council of Scientific and Industrial Research, India","ror":"https://ror.org/021wm7p51"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W593304382","https://openalex.org/W2090291143","https://openalex.org/W2094054391","https://openalex.org/W2508687891","https://openalex.org/W2558746189","https://openalex.org/W2754848506"],"related_works":["https://openalex.org/W1555816812","https://openalex.org/W4376851474","https://openalex.org/W4385327816","https://openalex.org/W3139101777","https://openalex.org/W1954384522","https://openalex.org/W4220852510","https://openalex.org/W4385588236","https://openalex.org/W2083238533","https://openalex.org/W2061237693","https://openalex.org/W603403972"],"abstract_inverted_index":{"The":[0,29],"notion":[1],"of":[2,12,19,32,42,44],"maximal":[3,6,10,30],"labeling,":[4],"optimal":[5],"labeling":[7],"and":[8,27,51],"the":[9,16],"index":[11,31,41],"a":[13,20],"graph":[14,53],"using":[15],"nonunit":[17],"elements":[18],"commutative":[21],"ring":[22],"with":[23],"identity":[24],"are":[25,38,54],"introduced":[26],"studied.":[28],"complete":[33,35],"graphs,":[34],"bipartite":[36],"graphs":[37],"given.":[39,56],"Maximal":[40],"cycles":[43],"order":[45],"up":[46],"to":[47],"[Formula:":[48],"see":[49],"text]":[50],"Petersen":[52],"also":[55]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}