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It is known that Moore digraphs of degree d > 1 and diameter k > 1 do not exist (see 20] or 5]). Furthermore, for degree 2, it is shown that for k 3 there are no digraphs of order`close' to, i.e., one less than, Moore bound 18]. In this paper, we shall consider digraphs of diameter k, degree 3 and number of vertices one less than Moore bound. We give a… (More)

Voltage graphs are a powerful tool for constructing large graphs (called lifts) with prescribed properties as covering spaces of small base graphs. This makes them suitable for application to the degree/diameter problem, which is to determine the largest order of a graph with given degree and diameter. Many currently known largest graphs of degree 15 and… (More)