M. Ollis

collaborators

3 papers

math.CO2025

A Discrete Logarithm Construction for Orthogonal Double Covers of the Complete Graph by Hamiltonian Paths

M. A. Ollis

During their investigation of power-sequence terraces, Anderson and Preece briefly mention a construction of a terrace for the cyclic group $Z_{n}$ when $n$ is odd and $2n+1…

math.CO2025

Construction Techniques for Linear Realizations of Multisets with Small Support

Onur AÄÄ±rseven, M. A. Ollis

A Hamiltonian path in the complete graph $K_{v}$ whose vertices are labeled with the integers $0, 1, \dots, v - 1$ is a linear realization for the multiset $L$ of the linear edge-lengths…

math.CO2025

A Coprime Buratti-Horak-Rosa Conjecture and Grid-Based Linear Realizations

Onur Agirseven, M. A. Ollis

We propose a "Coprime Buratti-Horak-Rosa (BHR) Conjecture": If $L$ is a multiset of size $v - 1$ with support contained in ${1, 2, \dots, ⌊ v /2 ⌋}$ such that $\gcd(v,x…