Classifying pentavalnet symmetric graphs of order $24p$

نویسنده

  • B. Ling School of Mathematics and Computer Sciences‎, ‎Yunnan Minzu University‎, ‎Kunming‎, ‎Yunnan 650504‎, ‎P.R‎. ‎China.
چکیده مقاله:

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.

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عنوان ژورنال

دوره 43  شماره 6

صفحات  1855- 1866

تاریخ انتشار 2017-11-30

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