{"id":"https://openalex.org/W4400513417","doi":"https://doi.org/10.61091/ars159-04","title":"\\(4\\)-Total Prime Cordial Labeling of Some Derived Graphs","display_name":"\\(4\\)-Total Prime Cordial Labeling of Some Derived Graphs","publication_year":2024,"publication_date":"2024-06-30","ids":{"openalex":"https://openalex.org/W4400513417","doi":"https://doi.org/10.61091/ars159-04"},"language":"en","primary_location":{"id":"doi:10.61091/ars159-04","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars159-04","pdf_url":"https://combinatorialpress.com/article/ars/4-total-prime-cordial-labeling-of-some-derived-graphs.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://combinatorialpress.com/article/ars/4-total-prime-cordial-labeling-of-some-derived-graphs.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054222938","display_name":"R. Ponraj","orcid":"https://orcid.org/0000-0001-7593-7429"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Ponraj","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040758398","display_name":"J. Maruthamani","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Maruthamani","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"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":1,"citation_normalized_percentile":{"value":0.12258967,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"159","issue":"1","first_page":"31","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9459999799728394,"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/T14500","display_name":"Advanced Mathematical Theories","score":0.9341999888420105,"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/mathematics","display_name":"Mathematics","score":0.8691626191139221},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6820715665817261},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5061771273612976}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8691626191139221},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6820715665817261},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5061771273612976}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.61091/ars159-04","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars159-04","pdf_url":"https://combinatorialpress.com/article/ars/4-total-prime-cordial-labeling-of-some-derived-graphs.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.61091/ars159-04","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars159-04","pdf_url":"https://combinatorialpress.com/article/ars/4-total-prime-cordial-labeling-of-some-derived-graphs.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400513417.pdf","grobid_xml":"https://content.openalex.org/works/W4400513417.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Let":[0,7],"\\(G\\)":[1,46],"be":[2,15],"a":[3,16,23,76],"\\((p,":[4],"q)\\)":[5],"graph.":[6,86],"\\(f:":[8],"V(G)":[9],"\\to":[10],"\\{1,":[11,56],"2,":[12,57],"\\ldots,":[13,58],"k\\}\\)":[14,59],"map":[17],"where":[18,60],"\\(k":[19,26],"\\in":[20,55],"\\mathbb{N}\\)":[21],"is":[22,39,81],"variable":[24],"and":[25,68,104],">":[27],"1\\).":[28],"For":[29],"each":[30],"edge":[31],"\\(uv\\),":[32],"assign":[33],"the":[34,63,92],"label":[35],"\\(\\gcd(f(u),":[36],"f(v))\\).":[37],"\\(f\\)":[38],"called":[40,82],"\\(k\\)-Total":[41],"prime":[42,78,84,94],"cordial":[43,79,85,95],"labeling":[44,80,96],"of":[45,66,97,106],"if":[47],"\\(\\left|t_{f}(i)":[48],"\u2013":[49],"t_{f}(j)\\right|":[50],"\\leq":[51],"1\\),":[52],"\\(i,":[53],"j":[54],"\\(t_{f}(x)\\)":[61],"denotes":[62],"total":[64],"number":[65],"vertices":[67],"edges":[69],"labeled":[70],"with":[71,75],"\\(x\\).":[72],"A":[73],"graph":[74],"\\(k\\)-total":[77,83],"In":[87],"this":[88],"paper,":[89],"we":[90],"investigate":[91],"4-total":[93],"some":[98,107],"graphs":[99],"like":[100],"dragon,":[101],"M\u00f6bius":[102],"ladder,":[103],"corona":[105],"graphs.":[108]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}