From the 1 of 4 linked papers with an AI index.
4 papers
On Matrix Product Factorization in Association Schemes
Allen W. Herman, Bobby Miraftab
The paper investigates matrix product factorizations within symmetric association schemes, providing structural and spectral criteria, valency and rank restrictions, and classifyin…
On Matrix Product Factorization of Cayley graphs
Allen W. Herman, Bobby Miraftab
We study when the adjacency matrix of a Cayley graph factors as the product of two adjacency matrices of Cayley graphs. Let be a finite group and let $U\subseteq G\setminus \{e…
On the second largest eigenvalue of certain graphs in the perfect matching association scheme
Himanshu Gupta, Allen Herman, Alice Lacaze-Masmonteil +2
The perfect matching association scheme is a set of relations on the perfect matchings of the complete graph on vertices. The relations between perfect matchings are defined b…
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…