On Some Cycles in Wenger Graphs
Let p be a prime, q be a power of p, and let F q be the field of q elements. For any positive integer n, the Wenger graph W n (q) is defined as follows: it is a bipartite graph with the vertex partitions being two copies of the (n + 1)-dimensional vector space F n+1 , and two vertices p = (p(1), . . . , p(n + 1)), and l = [l(1), . . . , l(n + 1)] q being adjacent if p(i) + l(i) = p(1)l(1) i−1 , for all i = 2, 3, . . . , n + 1.