THE $\ga$-SPECTRUM OF CYCLE WITH ONE CHORD
Varanoot Khemmani, Supaporn Saduakdee · International Journal of Pure and Apllied Mathematics · 2015
Let G be a graph of order n and size m. A γ-labeling of G is a one-to-one function f : V (G) → {0, 1, 2, . . . ,m} that induces an edge-labeling f ′ : E(G) → {1, 2, . . . ,m} on G defined by f (e) = |f(u) − f(v)| for each edge e = uv of G. The value of f is defined as val(f) = ∑ e∈E(G) f (e) . The γ-spectrum of a graph G is defined as spec(G) = {val(f) : f is a γ-labeling of G}. In this paper, γ-spectrum of cycle with one chord is determined. AMS Subject Classification: 05C78