Jane Breen

activity

20192021

collaborators

3 papers

math.CO2021

Maximum spread of graphs and bipartite graphs

Jane Breen, Alex W. N. Riasanovsky, Michael Tait +1

Given any graph $G$ , the (adjacency) spread of $G$ is the maximum absolute difference between any two eigenvalues of the adjacency matrix of $G$ . In this paper, we resolve a pair o…

math.CO2020

Hadamard diagonalizable graphs of order at most 36

Jane Breen, Steve Butler, Melissa Fuentes +7

If the Laplacian matrix of a graph has a full set of orthogonal eigenvectors with entries $\pm 1$ , then the matrix formed by taking the columns as the eigenvectors is a Hadamard mat…

math.CO2019

Optimizing the trade-off between number of cops and capture time in Cops and Robbers

Anthony Bonato, Jane Breen, Boris Brimkov +6

The cop throttling number $t h_{c} (G)$ of a graph $G$ for the game of Cops and Robbers is the minimum of $k + c a p t_{k} (G)$ , where $k$ is the number of cops and $c a p t_{k} (G)$ is the minimu…