collaborators

9 papers

math.CO2026

Maximum spectral sum of graphs

Hitesh Kumar, Lele Liu, Hermie Monterde +2

For a graph of order , the spectral sum of is defined to be the sum , where (resp. ) is the largest (resp. second largest) adjacenc…

math.CO2026

Laplacian state transfer in graphs with involutions

Swornalata Ojha, Hermie Monterde, Hiranmoy Pal

For , the generalized Laplacian of a graph is the matrix , where is the degree matrix and is the adjacency matrix of…

math.CO2026

Local -uniform mixing in continuous quantum walks

Hermie Monterde

Let be a weighted graph and be its adjacency, Laplacian or signless Laplacian matrix. In a continuous quantum walk on , local -uniform mixing occurs at vertex if…

math.CO2026

Sedentary quantum walks on bipartite graphs

Karen Meagher, Hermie Monterde

If a quantum walk starting on a vertex tends to stay at home, then that vertex is said to be sedentary. We prove that almost all planar graphs and almost all trees contain at least…

math.CO2026

Structured eigenbases and pair state transfer on threshold graphs

Leonardo de Lima, Renata Del-Vecchio, Hermie Monterde +1

Recently, Macharete, Del-Vecchio, Teixeira and de Lima showed that a star and any threshold graph on the same number of vertices share the same eigenbasis relative to the Laplacian…

math.CO2025

More graphs with pair state transfer

Hermie Monterde, Hiranmoy Pal

This paper has two main goals. First, we characterize perfect state transfer between -pair states in strongly regular graphs, as well as graphs in association schemes admitting…