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

Showing 2016Show all

3 papers · 1 filter

math.CO2016★ 4 cited

Transversals in Latin arrays with many distinct symbols

Darcy Best, Kevin Hendrey, Ian M. Wanless +2

An array is row-Latin if no symbol is repeated within any row. An array is Latin if it and its transpose are both row-Latin. A transversal in an $n \times n$ array is a selection of…

math.CO2016★ 2 cited

There are asymptotically the same number of Latin squares of each parity

Nicholas J. Cavenagh, Ian M. Wanless

A Latin square is reduced if its first row and column are in natural order. For Latin squares of a particular order $n$ there are four possible different parities. We confirm a con…

math.CO2016

Latin squares with no transversals

Nicholas J. Cavenagh, Ian M. Wanless

A $k$ -plex in a latin square of order $n$ is a selection of $k n$ entries that includes $k$ representatives from each row and column and $k$ occurrences of each symbol. A $1$ -plex i…