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On $G$-graphs
of certain finite groups
Mohammad Reza Darafsheh and Safoora Madady Moghadam
Vol. 11 (2018), No. 3, 463–476
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Abstract |
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The notion of -graph was introduced by Bretto et al. and has interesting properties. This graph is related to a group and a set of generators of and is denoted by . In this paper, we consider several types of groups and study the existence of Hamiltonian and Eulerian paths and circuits in . |
Keywords
$G$-graphs, finite group, Hamiltonian circuit, graphs,
paths, circuits
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Mathematical Subject Classification 2010
Primary: 05C25, 20F05
Secondary: 05C45
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Milestones
Received: 13 October 2016
Revised: 7 March 2017
Accepted: 18 July 2017
Published: 20 October 2017
Communicated by Kenneth S. Berenhaut
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Authors |
| Mohammad Reza Darafsheh | |
| School of Mathematics, Statistics
and Computer Science, College of Science University of Tehran Tehran Iran |
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| Safoora Madady Moghadam | |
| School of Mathematics, Statistics
and Computer Science University of Tehran Tehran Iran |
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