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Mehdi Alaeiyan
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran
Mathematics

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ON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$ pourmokhtar, laleh; Alaeiyan, Mehdi
Journal of the Indonesian Mathematical Society Volume 21 Number 2 (October 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.2.193.117-126

Abstract

A graph is called edge-transitive, if its full automorphismgroup acts transitively on its edge set. In this paper, we inquire theexistence of connected edge-transitive cubic graphs of order 58p2foreach prime p. It is shown that only for p = 29, there exists a uniqueedge-transitive cubic graph of order 58p2.DOI : http://dx.doi.org/10.22342/jims.21.2.193.117-126
ON THE NORMALITY OF SOME CAYLEY DIGRAPHS WITH VALENCY 2 Alaeiyan, Mehdi
Journal of the Indonesian Mathematical Society Volume 17 Number 2 (October 2011)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.17.2.3.67-72

Abstract

We call a Cayley digraph 􀀀=Cay(G; S) normal for G if R(G), the rightregular representation of G, is a normal subgroup of the full automorphism groupAut(􀀀) of 􀀀. In this paper we determine the normality of Cayley digraphs of valency2 on the groups of order pq and also on non-abelian nite groups G such that everyproper subgroup of G is abelian.DOI : http://dx.doi.org/10.22342/jims.17.2.3.67-72
A CLASSIFICATION OF THE CUBIC SEMISYMMETRIC GRAPHS OF ORDER 34p Alaeiyan, Mehdi; Aramian, Rasul
Journal of the Indonesian Mathematical Society Volume 17 Number 1 (April 2011)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.17.1.9.11-15

Abstract

A simple undirected graph is called semisymmetric if it is regular and edge transitive but not vertex-transitive. In this paper, we classify all connected cubic semisymmetric graph of order 34empsup2;/em, where p be a prime.DOI : http://dx.doi.org/10.22342/jims.17.1.9.11-15
A CLASSIFICATION OF SEMISYMMETRIC CUBIC GRAPHS OF ORDER 28p&sup2 Alaeiyan, Mehdi; Lashani, Mohsen
Journal of the Indonesian Mathematical Society Volume 16 Number 2 (October 2010)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.16.2.38.139-143

Abstract

A graph is said to be semisymmetric if its full automorphism group actstransitively on its edge set but not on its vertex set. In this paper, we prove thatthere is only one semisymmetric cubic graph of order 28psub2/sub, where p is a prime.DOI : http://dx.doi.org/10.22342/jims.16.2.38.139-143
Edge Transitive Dihedral Covers of The Heawood Graph Pourmokhtar, Laleh; Alaeiyan, Mehdi
Journal of the Indonesian Mathematical Society Volume 24 Number 2 (October 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.2.232.1-6

Abstract

A regular cover of a connected graph is called dihedral ifits transformation group is dihedral. In this paper, the authors clas-sify all dihedral coverings of the Heawood graph whose fibre-preservingautomorphism subgroups act edge-transitively.
Perfect 3-Colorings of The Petersen‎ Graph Alaeiyan, Mehdi; Karami, Hamed; Siasat, Sajjad
Journal of the Indonesian Mathematical Society Volume 24 Number 2 (October 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.2.246.47-53

Abstract

‎In this paper we enumerate the parameter matrices of all perfect 3-colorings of the Petersen graph‎. 
Co-Authors Karami, Hamed laleh pourmokhtar, laleh Mohsen Lashani Rasul Aramian Siasat, Sajjad