ISSN : 2663-2187

Square Sum Labeling of Super Subdivision of Certain Classes of Graphs

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Devakirubanithi D, JebaJesinthaJ, Nancy D
» doi: 10.48047/AFJBS.6.Si3.2024.2830-2835

Abstract

Ajitha, Arumugam, and Germina defined the square sum graph. A graph G = (V,E) with order p and size q is said to be a square sum graph, if there exists a bijection mapping f∶ V (G) → {0,1,2,...,(p - 1)} such that the induced function f^*: E(G) → N defined by f^* (uv)=(f(u) )^2+(f(v) )^2 , for every uv ∈ E(G) is injective. The graph which admits square sum labeling is called a square sum graph. This paper establishes Square sum labeling on the super subdivision of crown and coconut tree.

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