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

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A CLASSIFICATION OF SEMISYMMETRIC CUBIC GRAPHS OF ORDER 28p&sup2 Mehdi Alaeiyan; Mohsen Lashani
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 28p<sub>2</sub>, where p is a prime.DOI : http://dx.doi.org/10.22342/jims.16.2.38.139-143
ON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$ laleh pourmokhtar; Mehdi Alaeiyan
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
Co-Authors laleh pourmokhtar Mohsen Lashani