S. Mirafzal

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20112025

most citedSome algebraic properties of bipartite Kneser graphs

7 citations · 15 across the 14 of their papers we have counts for

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math.GR2019

On The automorphism groups of $u s$ -Cayley graphs

S. Morteza Mirafzal

Let $G$ be a finite abelian group written additively with identity $0$ , and $Ω$ be an inverse closed generating subset of $G$ such that $0 \in / Ω$ . We say that $Ω$ has the proper…

math.GR2019

On the automorphism groups of connected bipartite irreducible graphs

S. Morteza Mirafzal

Let $G = (V, E)$ be a graph with the vertex-set $V$ and the edge-set $E$ . Let $N (v)$ denote the set of neighbors of the vertex $v$ of $G .$ The graph $G$ is called $i r r e d u c ib l e$ when…

math.GR2019★ 2 cited

A note on the automorphism group of the Hamming graph

S. Morteza Mirafzal, Meysam Ziaee

Let $Ω$ be a $m$ -set, where $m > 1$ , is an integer. The Hamming graph $H (n, m)$ , has $Ω^{n}$ as its vertex-set, with two vertices are adjacent if and only if they differ in exactly on…

math.GR2018★ 7 cited

Some algebraic properties of bipartite Kneser graphs

S. Morteza Mirafzal, Ali Zafari

Let $n$ and $k$ be integers with $n > k \geq 1$ and $[n] = {1, 2, ..., n}$ . The $bi p a r t i t e K n eser g r a p h$ $H (n, k)$ is the graph with the all $k$ -element and all ( $n - k$ )-elemen…

math.GR2018

The automorphism group of the bipartite Kneser graph

S. Morteza Mirafzal

Let $n$ and $k$ be integers with $n > 2 k, k \geq 1$ . We denote by $H (n, k)$ the $bi p a r t i t e K n eser g r a p h$ , that is, a graph with the family of $k$ -subsets and ( $n - k$ )-subsets of $[n]…

math.GR2017

Cayley properties of the line graphs induced by consecutive layers of the hypercube

S. Morteza Mirafzal

Let $n > 3$ and $0 < k < \frac{n}{2}$ be integers. In this paper, we investigate some algebraic properties of the line graph of the graph $Q_{n} (k, k + 1)$ where $Q_{n} (k, k + 1)$ is…

On The automorphism groups of us-Cayley graphs

On the automorphism groups of connected bipartite irreducible graphs

A note on the automorphism group of the Hamming graph

Some algebraic properties of bipartite Kneser graphs

The automorphism group of the bipartite Kneser graph

Cayley properties of the line graphs induced by consecutive layers of the hypercube

On The automorphism groups of $u s$ -Cayley graphs