Johnna Parenteau

collaborators

3 papers

math.CO2026

Threshold Graphs Allow Few Distinct Eigenvalues: A New Approach

Jane Breen, Shaun Fallat, Johnna Parenteau

For any graph $G$ , we associate a family of real symmetric matrices, $S (G)$ , where for any $A \in S (G)$ , the location of the nonzero off-diagonal entries of $A$ are governed by the…

math.CO2026

Strictly Interlaced Spectral Data for the Weighted Matching Polynomial of a Graph

Shaun Fallat, Johnna Parenteau

Interlacing of the real roots of a weighted matching polynomial for a graph $G$ and that of a vertex-deleted subgraph is classical and well-known. In the context of strict interlac…

math.CO2024

Minimum number of distinct eigenvalues of distance-regular and signed Johnson graphs

Shaun Fallat, Himanshu Gupta, Allen Herman +1

We study the minimum number of distinct eigenvalues over a collection of matrices associated with a graph. Lower bounds are derived based on the existence or non-existence of certa…