A construction of small regular bipartite graphs of girth 8
Abstract
Let q be a prime a power and k an integer such that 3 ≤ k ≤ q. In this paper we present a method using Latin squares to construct adjacency matrices of k-regular bipartite graphs of girth 8 on 2(kq2 -- q) vertices. Some of these graphs have the smallest number of vertices among the known regular graphs with girth 8.
Domains
Discrete Mathematics [cs.DM]
Origin : Files produced by the author(s)
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