Let 𝐺 = (𝑉, 𝐸) be a connected graph. A locating-total dominating set in a graph 𝐺 is a total dominating set 𝑆 of a 𝐺, for every pair of vertices 𝑖, 𝑗∈ 𝑉(𝐺) \ 𝑆, such that 𝑁(𝑖) ∩𝑆 = ≠ ...

Carpathian Journal of Mathematics, Vol. 34, No. 2 (2018), pp. 143-155 (13 pages) In the paper, we extend known results concerning crossing numbers for join of graphs of order six. We give the crossing ...

Cayley graphs provide a powerful and intuitive framework linking group theory with graph theory by representing groups through vertices and edges defined by a generating set. In the realm of finite ...