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 = ≠ ...
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 ...
Graph distinguishing numbers constitute a vital parameter in understanding the symmetry properties of graphs. Fundamentally, the distinguishing number of a graph is the minimal number of labels ...
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