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 2011Show all

2 papers · 1 filter

math.SP2011

The minimum rank of universal adjacency matrices

Bahman Ahmadi, Fatemeh Alinaghipour, Shaun M. Fallat +3

In this paper we introduce a new parameter for a graph called the {\it minimum universal rank}. This parameter is similar to the minimum rank of a graph. For a graph $G$ the minimu…

math.CO2011★ 32 cited

Variants on the minimum rank problem: A survey II

Shaun Fallat, Leslie Hogben

The minimum rank problem for a (simple) graph $G$ is to determine the smallest possible rank over all real symmetric matrices whose $ij$ th entry (for $i \neq = j$ ) is nonzero whenever…