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 ...

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 ...

Let G = (V, E) be a simple connected graph of order n (≥ 2) and size m, where V(G) = [1, 2, .... n}. Also let Δ = d₁ ≥ d₂ ≥ ... ≥ dn = δ > 0, di = d(i), be a sequence of its vertex degrees with ...

Small separations in symmetric graphs (with B. Mohar) in preparation. Symmetric graphs with no K_n minor (with B. Mohar) in preparation Evolutionarily distinct species capture more phylogenetic ...

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 \(a \textgreater 0 \) ...