/manager/Index ${session.getAttribute("locale")} 5 Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes /manager/Repository/uon:17239 Sat 24 Mar 2018 07:59:14 AEDT ]]> A construction of dense mixed graphs of diameter 2 /manager/Repository/uon:29542 dense, if its order is close to the Moore bound and it is optimal if there is not a mixed graph with the same parameters and bigger order. We give a construction that provides dense mixed graphs of undirected degree q, directed degree [formula could not be replicated] and order 2q2 for q being an odd prime power. Since the Moore bound for a mixed graph with these parameters is equal to [formula could not be replicated] the defect of these mixed graphs is [formula could not be replicated]. In particular we obtain a known mixed Moore graph of order 18, undirected degree 3 and directed degree 1, called Bosák's graph and a new mixed graph of order 50, undirected degree 5 and directed degree 2, which is proved to be optimal.]]> Sat 24 Mar 2018 07:33:12 AEDT ]]>