A simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive. Every semisymmetric graph is a bipartite graph with two parts of equal size. Let ...▫$p$▫ be a prime. In this paper, a class of semisymmetric graphs of order ▫$2p^3$▫ are determined. This work is a partial result for our long term goal to classify all semisymmetric graphs of order ▫$2p^3$▫.
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