A classification of tetravalent one-regular graphs of order 3p²

Mohsen Ghasemi

Colloquium Mathematicae (2012)

  • Volume: 128, Issue: 1, page 15-24
  • ISSN: 0010-1354

Abstract

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A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this paper, tetravalent one-regular graphs of order 3p², where p is a prime, are classified.

How to cite

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Mohsen Ghasemi. "A classification of tetravalent one-regular graphs of order 3p²." Colloquium Mathematicae 128.1 (2012): 15-24. <http://eudml.org/doc/283680>.

@article{MohsenGhasemi2012,
abstract = {A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this paper, tetravalent one-regular graphs of order 3p², where p is a prime, are classified.},
author = {Mohsen Ghasemi},
journal = {Colloquium Mathematicae},
keywords = {-transitive graphs; symmetric graphs; Cayley graphs},
language = {eng},
number = {1},
pages = {15-24},
title = {A classification of tetravalent one-regular graphs of order 3p²},
url = {http://eudml.org/doc/283680},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Mohsen Ghasemi
TI - A classification of tetravalent one-regular graphs of order 3p²
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 1
SP - 15
EP - 24
AB - A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this paper, tetravalent one-regular graphs of order 3p², where p is a prime, are classified.
LA - eng
KW - -transitive graphs; symmetric graphs; Cayley graphs
UR - http://eudml.org/doc/283680
ER -

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