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JACIII Vol.27 No.6 pp. 1108-1112
doi: 10.20965/jaciii.2023.p1108
(2023)

Research Paper:

Square Difference Labeling of Bloom Graph

V. Jude Annie Cynthia* ORCID Icon, P. Poorani*,**, and M. Helda Mercy*** ORCID Icon

*Stella Maris College
446 Bella Illam, Sathyaraj Nagar, Moolakadai, Chennai 600060, India

**Chevalier T. Thomas Elizabeth College for Women
99/15 Manali New Town, Chennai, Tamil Nadu 600103, India

***Department of Information Technology, Panimalar Engineering College
Nazarthpet, Poonamallae, Chennai 600123, India

Received:
July 16, 2022
Accepted:
July 10, 2023
Published:
November 20, 2023
Keywords:
square difference labeling, square difference graph, bloom graph
Abstract

A function f of a graph G(p,q) admits square difference labeling if there exists a bijection f:V(G)→{0,1,2,...,p-1} such that the induced function f*:E(G)→N given by f*(uv)=|(f(u))2-(f(v))2| ∀uv∈E(G) is distinct. A graph which admits square difference labeling is called square difference graph. The major thrust of this paper is that we have provided an algorithm to find the square difference labeling of bloom graph.

Cite this article as:
V. Cynthia, P. Poorani, and M. Mercy, “Square Difference Labeling of Bloom Graph,” J. Adv. Comput. Intell. Intell. Inform., Vol.27 No.6, pp. 1108-1112, 2023.
Data files:
References
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Last updated on Mar. 01, 2024