Carly Bodkin

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20192025

most citedMutually orthogonal binary frequency squares of mixed type

5 citations · 6 across the 3 of their papers we have counts for

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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…

math.CO2022★ 5 cited

Mutually orthogonal binary frequency squares of mixed type

Carly Bodkin, Ian M. Wanless

A \emph{frequency square} is a matrix in which each row and column is a permutation of the same multiset of symbols. Two frequency squares $F_{1}$ and $F_{2}$ with symbol multisets $M_…

math.CO2019★ 1 cited

Most binary matrices have no small defining set

Carly Bodkin, Anita Liebenau, Ian M. Wanless

Consider a matrix $M$ chosen uniformly at random from a class of $m \times n$ matrices of zeros and ones with prescribed row and column sums. A partially filled matrix $D$ is a $\m…