Mehdi Alaeiyan
Articles written in Proceedings – Mathematical Sciences
Volume 119 Issue 5 November 2009 pp 647-653
Classifying Cubic Edge-Transitive Graphs of Order $8p$
Mehdi Alaeiyan M K Hosseinipoor
A simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive. Let 𝑝 be a prime. It was shown by Folkman (
Volume 120 Issue 1 February 2010 pp 19-26
Semisymmetric Cubic Graphs of Order $16p^2$
Mehdi Alaeiyan Hamid A Tavallaee B N Onagh
An undirected graph without isolated vertices is said to be semisymmetric if its full automorphism group acts transitively on its edge set but not on its vertex set. In this paper, we inquire the existence of connected semisymmetric cubic graphs of order $16p^2$. It is shown that for every odd prime 𝑝, there exists a semisymmetric cubic graph of order $16p^2$ and its structure is explicitly specified by giving the corresponding voltage rules generating the covering projections.
Volume 121 Issue 3 August 2011 pp 249-257
A Classification of Cubic Symmetric Graphs of Order $16p^2$
Mehdi Alaeiyan B N Onagh M K Hosseinipoor
A graph is called
Volume 122 Issue 2 May 2012 pp 175-179
Permutation Groups with Bounded Movement having Maximum Orbits
Mehdi Alaeiyan Behnam Razzaghmaneshi
Let 𝐺 be a permutation group on a set 𝛺 with no fixed points in 𝛺 and let 𝑚 be a positive integer. If no element of 𝐺 moves any subset of 𝛺 by more than 𝑚 points (that is, $|\Gamma^g\backslash\Gamma|\leq m$ for every $\Gamma\subseteq\Omega$ and $g\in G$), and also if each 𝐺-orbit has size greater than 2, then the number 𝑡 of 𝐺-orbits in 𝛺 is at most $\frac{1}{2}(3m-1)$. Moreover, the equality holds if and only if 𝐺 is an elementary abelian 3-group.
Volume 126 Issue 3 August 2016 pp 289-294 Research Article
Perfect 2-colorings of the generalized Petersen graph
In this paper, we enumerate the parameter matrices of all perfect 2-colorings of the generalized Petersen graphs $GP(n, 2)$, where $n \geq 5$. We also present some basic results for $GP(n, k)$, where $n \geq 5$ and $k \geq 3$.
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