International Journal of Advanced Multidisciplinary Research and Studies
Volume 4, Issue 5, 2024
Centered Triangular Sum Labeling of m, n−Snowflake Graph
Author(s): V Sharon Philomena, J Sweena Starlet
Abstract:
Graph labeling is an active field of study in graph theory. A graph’s labeling is the assigning of values to its vertices and edges under specified conditions. Harary [3] introduced the concept of sum labeling in 1990. Hedge and Shankaran [2] introduced a labeling of graph with q edges to admit triangular sum labeling if it is a one-to-one function that vertex of G is mapping to the natural numbers that induces a bijection f *: E(G) →{T1, T2, ..., Tq} of the edges of the graph G defined by f**(uv) = f(u) + f(v), ∀e = uv ∈E(G) are the first q triangular numbers. From the triangular number they derived the centered triangular number. In this paper we proved that snowflake graph and Bi-snowflake graph admits the triangular and centered triangular sum labeling.
Keywords: Graph Labeling, Sum Labeling, Centered Triangular Sum Labeling, Snowflake Graph, Bi-snowflake Graph
Pages: 541-545