Edge Transitive Dihedral Covers of The Heawood Graph

Laleh Pourmokhtar; Mehdi Alaeiyan

doi:10.22342/jims.24.2.232.1-6

Laleh Pourmokhtar ⁽¹⁾ , Mehdi Alaeiyan ⁽²⁾

(1) Iran University of Science and Technology, Iran, Islamic Republic of,

(2) Iran University of Science and Technology, Iran, Islamic Republic of

https://doi.org/10.22342/jims.24.2.232.1-6

Issue
Volume 24 Number 2 (October 2018)

Submitted
December 13, 2015

Accepted
February 17, 2018

Published
May 18, 2018

Keywords:

regular covering, lifting automorphism, edge- transitive graphs, Heawood graph

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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.

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Authors

Laleh Pourmokhtar

Iran University of Science and Technology

laleh_pourmokhtar@iust.ac.ir (Primary Contact)

Mehdi Alaeiyan

Iran University of Science and Technology

Author Biographies

Laleh Pourmokhtar, Iran University of Science and Technology

Department of Mathematics, Iran University of Science andTechnology, Narmak, Tehran 16844,

Mehdi Alaeiyan, Iran University of Science and Technology

Department of Mathematics, Iran University of Science andTechnology, Narmak, Tehran 16844,

Pourmokhtar, L., & Alaeiyan, M. (2018). Edge Transitive Dihedral Covers of The Heawood Graph. Journal of the Indonesian Mathematical Society, 24(2), 1–6. https://doi.org/10.22342/jims.24.2.232.1-6