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Ulam stability for finite variable quadratic functional equation in Banach algebra

Government Arts College for Men, Krishnagiri-635 001, Tamilnadu, India.

Research and Development Wing, Cloudin Software Tech Labs PVT LTD., Coimbatore, Tamilnadu, India.

Government Arts College for Men, Krishnagiri-635 001, Tamilnadu, India.

* Corresponding Author
Annals of Communications in Mathematics 2020
, 3 (2),
177-184.
https://doi.org/10.62072/acm.2020.030207
Received: 12 July 2020 |
Accepted: 18 August 2020 |
Published: 30 Jun 2020

Abstract

Here, we define a cube sum labeling and cube sum graph. Let G be a (p, q) graph. G is said to be a cube sum graph if there exist a bijection f : V (G) → {0, 1, . . . , p − 1} such that the induced function f ∗ : E(G) → N given by are all distinct. In this paper, we developed the concept of cube sum labeling of some family of graphs like paths, cycle, stars, wheel graph, fan graphs are discussed in this paper.

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Cite This Article

Ulam stability for finite variable quadratic functional equation in Banach algebra.

Annals of Communications in Mathematics,

2020,
3 (2):
177-184.
https://doi.org/10.62072/acm.2020.030207
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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