Abstract
For a graph G = (V (G), E(G)), an edge labeling function f : E(G) -> {0,1, ..., k - 1} where k is an integer, 2 <= k <=vertical bar E(G)vertical bar, induces a vertex labeling function f * :V(G) ->{0,1, ..., k - 1} such that f *(v) is the product of the labels of the edges incident to v (mod k). This function f is called k-total edge product cordial (or simply k-TEPC) labeling of G if vertical bar(v(f) (i) + e(f) (i)) - (v(f) (j) + e(f) (j))vertical bar <= 1 for all i, j is an element of D {0,1, ..., k - 1}. In this paper, 3-total edge product cordial labeling for star related graphs is determined.