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 = ≠ ...

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 ...

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 ...

Plotting a graph takes time. Often mathematicians just want to know the key features. These are: shape, location and some key points (such as where the graph crosses the axes or turning points).

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...