Ian M. Wanless

activity

20032026

most citedAcyclic Digraphs and Eigenvalues of (0,1)-Matrices

22 citations · 214 across the 59 of their papers we have counts for

collaborators

64 papers

math.CO2026

Avoiding a partial Latin square with an isotope of a given Latin square

Stijn Cambie, Ian M. Wanless

For all sufficiently large $n$ , we prove that every Latin square of order $n$ can be made to avoid any prescribed partial Latin square of order $n$ by permuting only its rows and c…

math.CO2026

Latin Squares whose transversals intersect in unusual ways

Afsane Ghafari, Ian M. Wanless

A latin square of order $n$ is an $n \times n$ array in which each of $n$ symbols occurs exactly once in each row and column. A transversal in such a square is a selection of $n$ en…

math.CO2026

Latin hypercubes with restricted transversals

Billy Child, Ian M. Wanless

A $k$ -plane of a $d$ -dimensional array is a subarray formed by fixing $d - k$ coordinates and allowing the remaining $k$ coordinates to vary freely. A Latin hypercube of dimension $d…

math.CO2026

A cube dismantling problem related to bootstrap percolation

János Barát, Ian M. Wanless

An $n \times n \times \dots \times n$ hypercube is made from $n^{d}$ unit hypercubes. Two unit hypercubes are neighbours if they share a $(d - 1)$ -dimensional face. In each step of a disma…

math.CO2026★ 12 cited

Autoparatopisms of Quasigroups and Latin Squares

Mahamendige Jayama Lalani Mendis, Ian M. Wanless

Paratopism is a well known action of the wreath product $S_{n} ≀ S_{3}$ on Latin squares of order $n$ . A paratopism that maps a Latin square to itself is an autopar…

math.CO2025

Maximal sets of mutually orthogonal frequency squares and Doehlert-Klee designs

Carly Bodkin, Nicholas J. Cavenagh, Ian M. Wanless

A binary frequency square of type $(n; λ_{0}, λ_{1})$ is a $(0, 1)$ -matrix of order $n$ with $λ_{0}$ zeros and $λ_{1}$ ones in each row and in each column. Two such squares are orthogonal if…