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Root cube mean cordial labeling of K1,n × Pm.

Authors :
Parejiya, Jaydeep
Mundadiya, Sneha
Gandhi, Harsh
Solanki, Ramesh
Jariya, Mahesh
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

Subjects :
GRAPH labelings
UNDIRECTED graphs

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