Edge Odd Gracefulness of 2-NC4, 3-NC4, 4-NC4

Abstract

p, q) connected graph is edge-odd graceful graph if there exists an injective map f: E(G) → {1, 3, …, 2q-1} so that induced map f+: V(G) → {0, 1,2, 3, …, (2k-1)}defined by f+(x)  f(x, y) (mod 2k), where the vertex x is incident with other vertex y and k = max {p, q} makes all the edges distinct.