منابع مشابه
Cubic symmetric graphs of orders $36p$ and $36p^{2}$
A graph is textit{symmetric}, if its automorphism group is transitive on the set of its arcs. In this paper, we classifyall the connected cubic symmetric graphs of order $36p$ and $36p^{2}$, for each prime $p$, of which the proof depends on the classification of finite simple groups.
متن کاملClassifying pentavalnet symmetric graphs of order $24p$
A graph is said to be symmetric if its automorphism group is transitive on its arcs. A complete classification is given of pentavalent symmetric graphs of order 24p for each prime p. It is shown that a connected pentavalent symmetric graph of order 24p exists if and only if p=2, 3, 5, 11 or 17, and up to isomorphism, there are only eleven such graphs.
متن کاملClassifying cubic symmetric graphs of order 8p or 8p2
A graph is s-regular if its automorphism group acts regularly on the set of its s-arcs. In this paper, we classify the s-regular elementary Abelian coverings of the three-dimensional hypercube for each s ≥ 1 whose fibre-preserving automorphism subgroups act arc-transitively. This gives a new infinite family of cubic 1-regular graphs, in which the smallest one has order 19 208. As an application...
متن کاملNote on cubic symmetric graphs of order 2pn
Let p be a prime and n a positive integer. In [J. Austral. Math. Soc. 81 (2006), 153–164], Feng and Kwak showed that if p > 5 then every connected cubic symmetric graph of order 2p is a Cayley graph. Clearly, this is not true for p = 5 because the Petersen graph is non-Cayley. But they conjectured that this is true for p = 3. This conjecture is confirmed in this paper. Also, for the case when p...
متن کاملcubic symmetric graphs of orders $36p$ and $36p^{2}$
a graph is textit{symmetric}, if its automorphism group is transitive on the set of its arcs. in this paper, we classifyall the connected cubic symmetric graphs of order $36p$ and $36p^{2}$, for each prime $p$, of which the proof depends on the classification of finite simple groups.
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2013
ISSN: 0304-9914
DOI: 10.4134/jkms.2013.50.2.241