/manager/Index ${session.getAttribute("locale")} 5 On bipartite graphs of defect 2 /manager/Repository/uon:7826 Sat 24 Mar 2018 08:37:39 AEDT ]]> On the nonexistence of almost Moore digraphs /manager/Repository/uon:20998 1, diameter at most k>1 and order N(d,k)=d+⋯+dk are called almost Moore or(d,k)-digraphs. So far, the problem of their existence has been solved only when d=2,3 or k=2,3,4. In this paper we derive the nonexistence of (d,k)-digraphs, with k>4 and d>3, under the assumption of a conjecture related to the factorization of the polynomials Φn(1+x+⋯+xk), where Φn(x) denotes the nnth cyclotomic polynomial and 1 Sat 24 Mar 2018 07:50:39 AEDT ]]> On the existence of radial Moore graphs for every radius and every degree /manager/Repository/uon:27524 Sat 24 Mar 2018 07:28:56 AEDT ]]>