Alexander W. N. Riasanovsky

activity

20162021

collaborators

4 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

On the edit distance function of the random graph

Ryan R. Martin, Alexander W. N. Riasanovsky

Given a hereditary property of graphs $H$ and a $p \in [0, 1]$ , the edit distance function $ed_{H} (p)$ is asymptotically the maximum proportion of edge-addi…

math.FA2019

Moments of the weighted Cantor measures

Steven N. Harding, Alexander W. N. Riasanovsky

Based on the seminal work of Hutchinson, we investigate properties of {\em $α$ -weighted Cantor measures} whose support is a fractal contained in the unit interval. Here, $α$ is a v…

math.CO2016

Zarankiewicz Numbers and Bipartite Ramsey Numbers

Alex Collins, Alexander Riasanovsky, John Wallace +1

The Zarankiewicz number $z (b; s)$ is the maximum size of a subgraph of $K_{b, b}$ which does not contain $K_{s, s}$ as a subgraph. The two-color bipartite Ramsey number $b (s, t)$ is th…