Diagonal groups are one of the classes of finite primitive permutation groups occurring in the
conclusion of the O'Nan–Scott theorem. Several of the other classes have been described …

Let $ G=(V, E) $ be a connected graph with the vertex-set $ V $ and the edge-set $ E $. The
subdivision graph $ S (G) $ of the graph $ G $ is obtained from $ G $ by adding a vertex in …

Let $ k\geq 1$ be an integer and $ n= 3k-1$. Let $\mathbb {Z} _n $ denote the additive
group of integers modulo $ n $ and let $ C $ be the subset of $\mathbb {Z} _n $ consisting of …

Let $ G_n=\mathbb {Z} _n\times\mathbb {Z} _n $ for $ n\geq 4$ and $ S=\{(i, 0),(0, i),(i, i):
1\leq i\leq n-1\}\subset G_n $. Define $\Gamma (n) $ to be the Cayley graph of $ G_n $ with …

Let $\Gamma=(V, E) $ be a graph. The square graph $\Gamma^ 2$ of the graph $\Gamma $
is the graph with the vertex set $ V (\Gamma^ 2)= V $ in which two vertices are adjacent if …

Permutation clones generalise permutation groups and clone theory. We investigate
permutation clones defined by relations, or equivalently, the automorphism groups of …

Iranian Journal of Mathematical Chemistry, Vol. 1, No., April 2010 Page 1 Iranian J. Math.
Chem. 13 (3) September (2022) 167 – 174 Original Scientific Paper Topological Indices of …

Let $ G $ be a finite abelian group written additively with identity $0 $, and $\Omega $ be an
inverse closed generating subset of $ G $ such that $0\notin\Omega $. We say that $\Omega …

Let $ G_n=\mathbb {Z} _n\times\mathbb {Z} _n $ for $ n\geq 4$ and $ S=\{(i, 0),(0, i),(i, i):
1\leq i\leq n-1\}\subset G_n $. Define $\Gamma (n) $ to be the Cayley graph of $ G_n $ with …

The folded hypercube $ FQ_n $ is the Cayley graph Cay $(\mathbb {Z} _2^ n, S) $, where $
S=\{e_1, e_2,\dots, e_n\}\cup\{u= e_1+ e_2+\dots+ e_n\} $, and $ e_i=(0,\dots, 0, 1, 0 …