https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Cubic factor-invariant graphs of cycle quotient type—The alternating case https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:55299 Tue 14 May 2024 17:52:12 AEST ]]> On bipartite graphs of defect 2 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:7826 Sat 24 Mar 2018 08:37:39 AEDT ]]> On the nonexistence of almost Moore digraphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:20998 1, diameter at most k>1 and order N(d,k)=d+⋯+d^k 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 Φ_n(1+x+⋯+x^k), 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 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:27524 Sat 24 Mar 2018 07:28:56 AEDT ]]>