Shaun M. Fallat

activity

20102026

most citedTotal positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples

37 citations · 79 across the 37 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.CO2021

The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph

Shaun M. Fallat, H. Tracy Hall, Jephian C. -H. Lin +1

The inverse eigenvalue problem of a graph studies the real symmetric matrices whose off-diagonal pattern is prescribed by the adjacencies of the graph. The strong spectral property…

math.CO2021

On the minimum number of distinct eigenvalues of a threshold graph

Shaun Fallat, Seyed Ahmad Mojallal

For a 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 ad…