{"id":"https://openalex.org/W2906469137","doi":"https://doi.org/10.1109/access.2018.2889293","title":"Edge Odd Graceful Labeling of Cylinder and Torus Grid Graphs","display_name":"Edge Odd Graceful Labeling of Cylinder and Torus Grid Graphs","publication_year":2018,"publication_date":"2018-12-24","ids":{"openalex":"https://openalex.org/W2906469137","doi":"https://doi.org/10.1109/access.2018.2889293","mag":"2906469137"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2889293","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2889293","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08587242.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08587242.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007160556","display_name":"S. N. Daoud","orcid":"https://orcid.org/0000-0003-3809-2521"},"institutions":[{"id":"https://openalex.org/I63601056","display_name":"Menoufia University","ror":"https://ror.org/05sjrb944","country_code":"EG","type":"education","lineage":["https://openalex.org/I63601056"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"S. N. Daoud","raw_affiliation_strings":["Department of Mathematics and Computer Science, Menoufia University, Shebin El Kom, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-3809-2521","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Menoufia University, Shebin El Kom, Egypt","institution_ids":["https://openalex.org/I63601056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007160556"],"corresponding_institution_ids":["https://openalex.org/I63601056"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.1386,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.81360684,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"7","issue":null,"first_page":"10568","last_page":"10592"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9462000131607056,"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/bijection","display_name":"Bijection","score":0.8287760615348816},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6920256614685059},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6392306089401245},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49616846442222595},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.4836041033267975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40371400117874146},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.363484263420105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3085852861404419},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05886319279670715}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8287760615348816},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6920256614685059},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6392306089401245},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49616846442222595},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.4836041033267975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40371400117874146},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.363484263420105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3085852861404419},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05886319279670715}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2889293","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2889293","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08587242.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1fca9a7691fb4481b86eaedea50919d9","is_oa":true,"landing_page_url":"https://doaj.org/article/1fca9a7691fb4481b86eaedea50919d9","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":"IEEE Access, Vol 7, Pp 10568-10592 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2889293","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2889293","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08587242.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321161","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2906469137.pdf","grobid_xml":"https://content.openalex.org/works/W2906469137.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W969289992","https://openalex.org/W1485272726","https://openalex.org/W1497651746","https://openalex.org/W1500175582","https://openalex.org/W1570481716","https://openalex.org/W2027827333","https://openalex.org/W2073100569","https://openalex.org/W2096213413","https://openalex.org/W2112641412","https://openalex.org/W2116678315","https://openalex.org/W2150352566","https://openalex.org/W2170193181","https://openalex.org/W2172036605","https://openalex.org/W2608694476","https://openalex.org/W2614036046","https://openalex.org/W6629869755","https://openalex.org/W6633926691","https://openalex.org/W6676813938","https://openalex.org/W6737619244"],"related_works":["https://openalex.org/W2952259524","https://openalex.org/W2279732055","https://openalex.org/W2995857455","https://openalex.org/W4288805235","https://openalex.org/W2027277382","https://openalex.org/W4287020903","https://openalex.org/W1508013399","https://openalex.org/W2998840281","https://openalex.org/W4321277045","https://openalex.org/W4362208331"],"abstract_inverted_index":{"Solairaju":[0],"and":[1,16,76],"Chithra":[2],"introduced":[3],"a":[4,10,28],"new":[5],"type":[6],"of":[7,9,34,56],"labeling":[8,24],"graph":[11,36,83,89],"G":[12],"with":[13],"p":[14],"vertices":[15],"q":[17],"edges":[18,33,58],"called":[19],"an":[20],"edge":[21,93],"odd":[22,94],"graceful":[23],"if":[25],"there":[26],"is":[27,52],"bijection":[29],"f":[30],"from":[31],"the":[32,35,38,54,64,80],"to":[37,60],"set":[39],"{1,":[40],"3,":[41],"...":[42],",":[43],"2q":[44],"-":[45],"1}":[46],"such":[47],"that,":[48],"when":[49],"each":[50],"vertex":[51,66],"assigned":[53],"sum":[55],"all":[57],"incident":[59],"it":[61],"mod":[62],"2q,":[63],"resulting":[65],"labels":[67],"are":[68],"distinct.":[69],"In":[70],"this":[71],"paper,":[72],"we":[73],"proved":[74],"necessary":[75],"sufficient":[77],"conditions":[78],"for":[79],"cylinder":[81],"grid":[82,88],"Cm,n=":[84],"Pm\u00d7":[85],"Cnand":[86],"torus":[87],"Tm,n=":[90],"Cm\u00d7":[91],"Cnare":[92],"graceful.":[95]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
