Sum perfect cube labeling of graphs

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Published

29-06-2024

DOI:

https://doi.org/10.58414/SCIENTIFICTEMPER.2024.15.2.57

Keywords:

Sum perfect cube graphs, Graph labeling, Combinatorial mathematics, Number theory, Graph theory, Mathematical graphs, Cube labeling

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Issue

Vol. 15 No. 02 (2024): The Scientific Temper

Section

SECTION B: PHYSICAL SCIENCES, PHARMACY, MATHS AND STATS

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Copyright (c) 2024 The Scientific Temper

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Authors

  • S.G. Sonchhatra Department of Mathematics, Government Engineering College, Rajkot, Gujarat, India
  • D. D. Pandya Department of Mathematics, Government Engineering College, Rajkot, Gujarat, India
  • T. M. Chhaya Department of Mathematics, Lukhdhirji Engineering College (Diploma), Morbi, Gujarat, India.

Abstract

This paper investigates sum-perfect cube graphs, defined as graphs with a bijection .
Where is the number of vertices. For each edge , a function is defined by . If is injective, is termed a Sum perfect cube labeling. The study focuses on identifying graphs where all edges permit such a labeling, termed sum-perfect cube graphs. This paper explores the properties and classifications of these graphs.

How to Cite

Sonchhatra, S., Pandya, D. D., & Chhaya, T. M. (2024). Sum perfect cube labeling of graphs. The Scientific Temper, 15(02), 2397–2400. https://doi.org/10.58414/SCIENTIFICTEMPER.2024.15.2.57

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