On the generalization of total mutual-visibility number

Let G be a graph with vertex-set V(G) and A_x۰۰۰۰_ACV(G). Then A is a total k-clique mutual-visibility set if for each two distinct k-cliques X and Y of G, there exists a shortest X, Y-path P such that V(P) _x۰۰۰۰_۰AC V(X) _x۰۰۰۰_۰U V(Y). The order of a largest total k-clique mutual-visibility set of G is the total k-clique mutual-visibility number _x۰۰۰۰_۰(G). In this paper, we propose the concept of _x۰۰۰۰_۰as an extension of the total mutual-visibility number of G and we determine the total k-clique mutual-visibility number for edge Corona product of graphs.

کلیدواژه ها:

Total mutual-visibility number ، Total k-clique mutual-visibility number ، Edge Corona product