V. Govindan

Generalized U-H stability of cubic mappings
Annals of Communications in Mathematics 2020
, 3 (2)
, 152-157
DOI: https://doi.org/10.62072/acm.2020.030204
AbstractIn this work, we investigate the generalized Ulam-Hyers stability of the ωdimensional cubic functional equation where ω ≥ 4, in Banach spaces using direct and fixed point methods.

Cube sum labeling of graphs
Annals of Communications in Mathematics 2020
, 3 (2)
, 171-176
DOI: https://doi.org/10.62072/acm.2020.030206
AbstractHere, 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.

Ulam stability for finite variable quadratic functional equation in Banach algebra
Annals of Communications in Mathematics 2020
, 3 (2)
, 177-184
DOI: https://doi.org/10.62072/acm.2020.030207
AbstractHere, 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.