{"id":"https://openalex.org/W3125841584","doi":"https://doi.org/10.29121/granthaalayah.v3.i9.2015.2954","title":"TREE RELATED EXTENDED MEAN CORDIAL GRAPHS","display_name":"TREE RELATED EXTENDED MEAN CORDIAL GRAPHS","publication_year":2015,"publication_date":"2015-09-30","ids":{"openalex":"https://openalex.org/W3125841584","doi":"https://doi.org/10.29121/granthaalayah.v3.i9.2015.2954","mag":"3125841584"},"language":"en","primary_location":{"id":"doi:10.29121/granthaalayah.v3.i9.2015.2954","doi":"https://doi.org/10.29121/granthaalayah.v3.i9.2015.2954","is_oa":true,"landing_page_url":"https://doi.org/10.29121/granthaalayah.v3.i9.2015.2954","pdf_url":"https://www.granthaalayahpublication.org/journals/index.php/granthaalayah/article/download/IJRG15_B09_87/2842","source":{"id":"https://openalex.org/S4210201586","display_name":"International Journal of Research -GRANTHAALAYAH","issn_l":"2350-0530","issn":["2350-0530","2394-3629"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4322614449","host_organization_name":"Granthaalayah Publications and Printers","host_organization_lineage":["https://openalex.org/P4322614449"],"host_organization_lineage_names":["Granthaalayah Publications and Printers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Research -GRANTHAALAYAH","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.granthaalayahpublication.org/journals/index.php/granthaalayah/article/download/IJRG15_B09_87/2842","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000246669","display_name":"A. Nellai Murugan","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Nellai Murugan","raw_affiliation_strings":["Department of Mathematics, V.O.Chidambaram College, Tuticorin 628 008, INDIA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, V.O.Chidambaram College, Tuticorin 628 008, INDIA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073969956","display_name":"S. Priyanka","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shiny Priyanka","raw_affiliation_strings":["Department of Mathematics, V.O.Chidambaram College, Tuticorin 628 008, INDIA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, V.O.Chidambaram College, Tuticorin 628 008, INDIA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31125516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"9","first_page":"143","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994999766349792,"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":0.9994999766349792,"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":9.999999747378752e-05,"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/T14500","display_name":"Smarandache Functions and Recreational Number Theory","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/graph-labeling","display_name":"graph labeling","score":0.5529999732971191}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8998982310295105},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8263337016105652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7313387989997864},{"id":"https://openalex.org/C150433608","wikidata":"https://www.wikidata.org/wiki/Q5337633","display_name":"Edge-graceful labeling","level":5,"score":0.6173851490020752},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5801806449890137},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5662776231765747},{"id":"https://openalex.org/C166513658","wikidata":"https://www.wikidata.org/wiki/Q5597093","display_name":"Graph labeling","level":5,"score":0.5279204845428467},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34378501772880554},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.1823875606060028},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.16558164358139038}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.29121/granthaalayah.v3.i9.2015.2954","doi":"https://doi.org/10.29121/granthaalayah.v3.i9.2015.2954","is_oa":true,"landing_page_url":"https://doi.org/10.29121/granthaalayah.v3.i9.2015.2954","pdf_url":"https://www.granthaalayahpublication.org/journals/index.php/granthaalayah/article/download/IJRG15_B09_87/2842","source":{"id":"https://openalex.org/S4210201586","display_name":"International Journal of Research -GRANTHAALAYAH","issn_l":"2350-0530","issn":["2350-0530","2394-3629"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4322614449","host_organization_name":"Granthaalayah Publications and Printers","host_organization_lineage":["https://openalex.org/P4322614449"],"host_organization_lineage_names":["Granthaalayah Publications and Printers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Research -GRANTHAALAYAH","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.29121/granthaalayah.v3.i9.2015.2954","doi":"https://doi.org/10.29121/granthaalayah.v3.i9.2015.2954","is_oa":true,"landing_page_url":"https://doi.org/10.29121/granthaalayah.v3.i9.2015.2954","pdf_url":"https://www.granthaalayahpublication.org/journals/index.php/granthaalayah/article/download/IJRG15_B09_87/2842","source":{"id":"https://openalex.org/S4210201586","display_name":"International Journal of Research -GRANTHAALAYAH","issn_l":"2350-0530","issn":["2350-0530","2394-3629"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4322614449","host_organization_name":"Granthaalayah Publications and Printers","host_organization_lineage":["https://openalex.org/P4322614449"],"host_organization_lineage_names":["Granthaalayah Publications and Printers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Research -GRANTHAALAYAH","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3125841584.pdf","grobid_xml":"https://content.openalex.org/works/W3125841584.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W2112641412","https://openalex.org/W2129646204","https://openalex.org/W2312913014","https://openalex.org/W2314436552","https://openalex.org/W2315572937","https://openalex.org/W2324120429","https://openalex.org/W2326266755","https://openalex.org/W2991669042","https://openalex.org/W4213214460"],"related_works":["https://openalex.org/W2550569094","https://openalex.org/W3091795624","https://openalex.org/W2991669042","https://openalex.org/W2002162195","https://openalex.org/W4403412794","https://openalex.org/W7220477706","https://openalex.org/W7220261665","https://openalex.org/W4399440785","https://openalex.org/W2595012472","https://openalex.org/W2407039116"],"abstract_inverted_index":{"Let":[0],"G":[1,21],"=":[2],"(V,E)":[3],"be":[4],"a":[5,19,27],"graph":[6,102],"with":[7,22,57,66,74,87,95],"p":[8],"vertices":[9,64,72],"and":[10,68,81,89],"q":[11],"edges.":[12],"A":[13],"Extended":[14,106,112,131],"Mean":[15,107,113,132],"Cordial":[16,108,114,133],"Labeling":[17,109],"of":[18,63,71,84,92],"Graph":[20],"vertex":[23],"set":[24],"V":[25,30],"is":[26,39,47,110],"bijection":[28],"from":[29],"to":[31,55],"{0,":[32],"1,2}":[33],"such":[34],"that":[35,60,103,121],"each":[36],"edge":[37],"uv":[38],"assigned":[40],"the":[41,48,58,61,69,82,90],"label":[42],"where":[43],"\u2308":[44],"x":[45,56],"\u2309":[46],"least":[49],"integer":[50],"greater":[51],"than":[52],"or":[53],"equal":[54],"condition":[59],"number":[62,70,83,91],"labeled":[65,73,86,94],"0":[67,88],"1":[75,80,96],"differ":[76,97],"by":[77,98],"at":[78],"most":[79],"edges":[85,93],"almost":[99],"1.":[100],"The":[101],"admits":[104],"an":[105],"called":[111],"Graph.":[115],"In":[116],"this":[117],"paper,":[118],"we":[119],"proved":[120],"tree":[122],"related":[123],"graphs":[124],"Hdn,":[125],"K":[126],"1,n,":[127],"Tgn,":[128],"<K1,n:n>":[129],"are":[130],"Graphs.":[134]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-02-01T00:00:00"}