51. Edge irregular reflexive labeling for corona product of path and star.
- Author
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Yoong, K. K., Hasni, R., Lau, G. C., Gobithaasan, R. U., and Siddiqui, M. K.
- Subjects
GRAPH labelings - Abstract
We define a total k-labeling φ of a graph G as a combination of an edge labeling φe:E(G)→{1,2,...,k
e } and a vertex labeling φv :V(G)→{0,2,...,2kv}, such that φ(x)=φv (x) if x&#V(G) and φ(x)=φe(x) if x∈E(G), where k= max {ke ,2kv }. The total k-labeling φ is called an edge irregular reflexive k-labeling of G if every two different edges has distinct edge weights, where the edge weight is defined as the summation of the edge label itself and its two vertex labels. Thus, the smallest value of k for which the graph G has the edge irregular reflexive k-labeling is called the reflexive edge strength of G. In this paper, we study the edge irregular reflexive labeling of corona product of two paths and corona product of a path with isolated vertices. We determine the reflexive edge strength for these graphs. [ABSTRACT FROM AUTHOR]- Published
- 2024