Tetravalent half-arc-transitive graphs of order p 2 q 2

Hailin Liu; Bengong Lou; Bo Ling

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 2, page 391-401
  • ISSN: 0011-4642

Abstract

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We classify tetravalent G -half-arc-transitive graphs Γ of order p 2 q 2 , where G ≤ 𝖠𝗎𝗍 Γ and p , q are distinct odd primes. This result involves a subclass of tetravalent half-arc-transitive graphs of cube-free order.

How to cite

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Liu, Hailin, Lou, Bengong, and Ling, Bo. "Tetravalent half-arc-transitive graphs of order $p^2q^2$." Czechoslovak Mathematical Journal 69.2 (2019): 391-401. <http://eudml.org/doc/294536>.

@article{Liu2019,
abstract = {We classify tetravalent $G$-half-arc-transitive graphs $\Gamma $ of order $p^2q^2$, where $G\le \mathop \{\textsf \{Aut\}\}\Gamma $ and $p$, $q$ are distinct odd primes. This result involves a subclass of tetravalent half-arc-transitive graphs of cube-free order.},
author = {Liu, Hailin, Lou, Bengong, Ling, Bo},
journal = {Czechoslovak Mathematical Journal},
keywords = {half-arc-transitive graph; normal Cayley graph; cube-free order},
language = {eng},
number = {2},
pages = {391-401},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Tetravalent half-arc-transitive graphs of order $p^2q^2$},
url = {http://eudml.org/doc/294536},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Liu, Hailin
AU - Lou, Bengong
AU - Ling, Bo
TI - Tetravalent half-arc-transitive graphs of order $p^2q^2$
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 2
SP - 391
EP - 401
AB - We classify tetravalent $G$-half-arc-transitive graphs $\Gamma $ of order $p^2q^2$, where $G\le \mathop {\textsf {Aut}}\Gamma $ and $p$, $q$ are distinct odd primes. This result involves a subclass of tetravalent half-arc-transitive graphs of cube-free order.
LA - eng
KW - half-arc-transitive graph; normal Cayley graph; cube-free order
UR - http://eudml.org/doc/294536
ER -

References

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