(s, d) Magic Labeling of some ladder graphs

Autor: Sumathi P., Mala P.
Jazyk: English<br />French
Rok vydání: 2023
Předmět:
Zdroj: E3S Web of Conferences, Vol 376, p 01110 (2023)
Druh dokumentu: article
ISSN: 2267-1242
20233760
DOI: 10.1051/e3sconf/202337601110
Popis: Let G(p, q) be a connected, undirected, simple and non-trivial graph with q nodes and q lines. Let f be an injective function f: V(G) →{ s, s + d, s + 2d,.....s + (q +1)d } and g be an injective function g: E(G) → {d,2d,3d,… 2(q-1)d}.Then the graph G is said to be (s, d) magic labeling if f(u) + g(uv) + f(v) is a constant, for all u, v; ∈ V(G). A graph G is called (s, d) magic graph if it admits (s, d) magic labeling. In this paper the existence of (s, d) magic labeling in some ladder graphs are found.
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