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A classification of semisymmetric graphs of order 2pq
Authors:Shafei Du  Mingyao Xu
Institution:1. Department of Mathematics , Capital Normal University , Beijing, 100037, P.R.China;2. Department of Mathematics , Peking University , Beijing, 100871, P.R.China
Abstract:A simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive. This paper gives a classification of semisymmetric graphs of order 2pq where p and q are distinct primes. It is shown that there are 143 examples of such graphs, 131 of which are biprimitive.
Keywords:Artin–Tits monoids  Endomorphisms  Fixed points  Garside monoids  Metrics
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