An odd harmonious labeling of a graph G is an injective function f : V (G) → {0,1,2,...,2|E(G)| − 1} such that the induced function f ∗ : E(G) → {1,3,...,2|E(G)| − 1} defined by f ∗(xy) = f (x) + f (y) is a bijection. A ...