Square Difference Labeling of Bloom Graph-Reference-Cited by-同舟云学术

Square Difference Labeling of Bloom Graph

Published:2023-11-20 Issue:6 Volume:27 Page:1108-1112
ISSN:1883-8014
Container-title:Journal of Advanced Computational Intelligence and Intelligent Informatics
language:en
Short-container-title:JACIII

Author:

Cynthia V. Jude Annie¹^ORCID,Poorani P.¹²,Mercy M. Helda³^ORCID

Affiliation:

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

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

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

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.

Publisher

Fuji Technology Press Ltd.

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Human-Computer Interaction

Reference14 articles.

1. A. Rosa, “On certain valuations of the vertices of a graph,” Theory of Graphs (Int. Symp.), pp. 349-355, 1967.

2. J. A. Bondy and U. S. R. Murty, “Graph Theory with Applications,” Palgrave, 1977.

3. D. A. Xavier and C. J. Deeni, “Bloom graph,” Int. J. of Computing Algorithm, Vol.3, pp. 521-523, 2014. https://doi.org/10.20894/IJCOA.101.003.001.012

4. C. Kujur, D. A. Xavier, and S. A. A. Raja, “Lucky Labeling and Proper Lucky Labeling for Bloom Graph,” IOSR J. of Mathematics, Vol.13, No.2, pp. 52-59, 2017. https://doi.org/10.9790/5728-1302025259

5. J. A. Cynthia and E. Padmavathy, “Signed Cordial Labeling and Signed Product Cordial Labeling of Some Interconnection Networks,” Advances and Applications in Discrete Mathematics, Vol.26, No.1, pp. 35-51, 2021. https://doi.org/10.17654/DM026010035