On the nonexistence of almost Moore digraphs with self-repeats

A Messegué, JM Miret - arXiv preprint arXiv:2410.20226, 2024 - arxiv.org
An almost Moore digraph is a diregular digraph of degree $ d> 1$, diameter $ k> 1$ and
order $ d+ d^ 2+\cdots+ d^ k $. Their existence has only been shown for $ k= 2$. It has also …

[PDF][PDF] On the permutation cycle structures for almost Moore digraphs of degrees 4 and 5

JM Miret, R Simanjuntak, S Simón - 2023 - repositori.udl.cat
Almost Moore digraphs of degree d and diameter k, for short (d, k)-digraphs, appear in the
degree/diameter problem as a class of extremal directed graphs. Their order is one less than …