A k-total edge product cordial labeling is a variant of the well-known cordial labeling. In this paper we characterize graphs admitting a 2total edge product cordial labeling. We also show that dense graphs and regular graphs of degree 2(k − 1) admit a k-total edge product cordial labeling.

Let G = (V, E) be a graph and let f : V → {0, 1} be a mapping from the set of vertices to {0, 1} and for each edge (u, v) ∈ E assign the label |f(u)− f(v)|. If the number of vertices labeled with 0 and the number of vertices labeled with 1 differ by at most 1 and the number of edges labled with 0 and the number of edges labeled with 1 differ by at most 1, then f is called a cordial labeling. In...

Hovey introduced A-cordial labelings in [4] as a simultaneous generalization of cordial and harmonious labelings. If A is an abelian group, then a labeling f : V (G) → A of the vertices of some graph G induces an edgelabeling on G; the edge uv receives the label f(u) + f(v). A graph G is A-cordial if there is a vertex-labeling such that (1) the vertex label classes differ in size by at most one...

Let G be a graph with vertex set V(G) and edge set E(G), and let A be an abelian group. A labeling f: V(G) A induces an edge labeling f"': E(G) A defined by f"'(xy) = f(x) + fey), for each edge xy e E(G). For i e A, let vt<i) = card { v e V(G) : f(v) = i} and er(i) = card ( e e E(G) : f"'(e) = i}. Let c(f) = {Iet<i) etG)1 : (i, j) e A x A}. A labeling f of a graph G is said to be A­ friendly if...

In this paper we prove that the split graphs of 1,n K and are prime cordial graphs. We also show that the square graph of is a prime cordial graph while middle graph of is a prime cordial graph for . Further we prove that the wheel graph admits prime cordial labeling for . , n n B n  , n n B n P 8 4 n 

In this paper we prove that the extended triplicate graph (ETG) of finite paths admits product E-cordial, total product E-cordial labelings. We show that ETG of finite paths of length n where n ∉ {4m-3|m∈N} admits E-Cordial, total E-cordial labelings and also we prove the existence of Z3 – magic labeling for the modified Extended Triplicate graph.

For any integer k > 0, a tree T is k-cordial if there exists a labeling of the vertices of T by Zk, inducing edge-weights as the sum modulo k of the labels on incident vertices to a given edge, which furthermore satisfies the following conditions: 1. Each label appears on at most one more vertex than any other label. 2. Each edge-weight appears on at most one more edge than any other edge-weigh...

let g be a (p, q) graph. let f : v (g) → {1, 2, . . . , k} be a map. for each edge uv, assign the label gcd (f(u), f(v)). f is called k-prime cordial labeling of g if |vf (i) − vf (j)| ≤ 1, i, j ∈ {1, 2, . . . , k} and |ef (0) − ef (1)| ≤ 1 where vf (x) denotes the number of vertices labeled with x, ef (1) and ef (0) respectively denote the number of edges labeled with 1 and not labeled with 1....

In this paper we discuss cordial labeling in the context of arbitrary supersubdivision of graph. We prove that the graphs obtained by arbitrary supersubdivision of path as well as star admit cordial labeling. In addition to this we prove that the graph obtained by arbitrary supersubdivision of cycle is cordial except when n and all mi are simultaneously odd numbers. Mathematics Subject Classifi...