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Root cube mean cordial labeling of K1,n × Pm.
- Source :
- AIP Conference Proceedings; 2023, Vol. 2963 Issue 1, p1-20, 20p
- Publication Year :
- 2023
-
Abstract
- All the graphs considered in this article are simple and undirected. Let G = (V(G), E(G)) be a simple undirected Graph. A function f ∶V(G) → {0, 1, 2} is called root cube mean cordial labeling if the induced function f* ∶ E(G) → {0, 1, 2} defined by f * (u) = ⌊ (f (u)) 3 + (f (v)) 3 2 ⌋ satisfies the condition |v<subscript>f</subscript>(i) − v<subscript>f</subscript>(j)| ≤ 1 and |e<subscript>f</subscript>(i) − e<subscript>f</subscript>(j)| ≤ 1 for any i,j ∈ {0,1,2} where v<subscript>f</subscript>(x) and e<subscript>f</subscript>(x) denotes the number of vertices and number of edges with label x respectively and ⌊x⌋ denotes the greatest integer less than or equals to x. A Graph G is called root cube mean cordial if it admits root cube mean cordial labeling. In this article, we have discussed root cube mean cordial labeling of the graph K<subscript>1,n</subscript> × P<subscript>m</subscript>. [ABSTRACT FROM AUTHOR]
- Subjects :
- GRAPH labelings
UNDIRECTED graphs
Subjects
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2963
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 173612973
- Full Text :
- https://doi.org/10.1063/5.0183402