D. Morris

activity

19972024

most citedIntroduction to Arithmetic Groups

186 citations · 360 across the 48 of their papers we have counts for

collaborators

51 papers

math.CO2024

Colour-permuting automorphisms of complete Cayley graphs

Shirin Alimirzaei, Dave Witte Morris

Let $G$ be a (finite or infinite) group, and let $K_{G} = Cay (G; G ∖ {1})$ be the complete graph with vertex set $G$ , considered as a Cayley graph of $G$ . Bei…

math.CO2023

Cayley graphs of order 8pq are hamiltonian

Fateme Abedi, Dave Witte Morris, Javanshir Rezaee +1

We give a computer-assisted proof that if $G$ is a finite group of order $8 pq$ , where $p$ and $q$ are distinct primes, then every connected Cayley graph on $G$ has a hamiltonian cy…

math.CO2023★ 1 cited

Non-Cayley-Isomorphic Cayley graphs from non-Cayley-Isomorphic Cayley digraphs

Dave Witte Morris, Joy Morris

A finite group $G$ is a "non-DCI group" if there exist subsets $S_{1}$ and $S_{2}$ of $G$ , such that the associated Cayley digraphs $C a y (G; S_{1})$ and $C\overrightarrow{…

math.CO2023★ 1 cited

Automorphisms of the canonical double cover of a toroidal grid

Dave Witte Morris

The Cartesian product of two cycles (of length m and length n) has a natural embedding on the torus, such that each face of the embedding is a 4-cycle. The toroidal grid Qd(m,n,r)…

math.CO2022

Hamiltonicity after reversing the directed edges at a vertex of a Cartesian product

Dave Witte Morris

Let $C_{m}$ and $C_{n}$ be directed cycles of length $m$ and $n$ , with $m, n \geq 3$ , and let $P (C_{m} □ C_{n})$ be the digraph that is obtained from the Car…

math.CO2022

Arc-disjoint hamiltonian paths in Cartesian products of directed cycles

Iren Darijani, Babak Miraftab, Dave Witte Morris

We show that if $C_{1}$ and $C_{2}$ are directed cycles (of length at least two), then the Cartesian product $C_{1} □ C_{2}$ has two arc-disjoint hamiltonian paths. (This answers a ques…