Brendan Rooney

collaborators

2 papers

math.CO2021

Efficient (j,k)-Domination in Regular Graphs

Brendan Rooney

Rubalcaba and Slater (Robert R. Rubalcaba and Peter J. Slater. Efficient (j,k)-domination. Discuss. Math. Graph Theory, 27(3):409-423, 2007.) define a $(j, k)$ -dominating function o…

math.CO2018

Vector Coloring the Categorical Product of Graphs

Chris Godsil, David E. Roberson, Brendan Rooney +2

A vector $t$ -coloring of a graph is an assignment of real vectors $p_{1}, \dots, p_{n}$ to its vertices such that $p_{i}^{T} p_{i} = t - 1$ for all $i = 1, \dots, n$ and $p_{i}^{T} p_{j} \leq - 1$ whene…