37 citations · 79 across the 37 of their papers we have counts for
Showing 2016Show all
2 papers · 1 filter
math.AC2016★ 37 cited
Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples
Shaun Fallat, Charles R. Johnson, Alan D. Sokal
We show that, for Hankel matrices, total nonnegativity (resp. total positivity) of order r is preserved by sum, Hadamard product, and Hadamard power with real exponent t \ge r-2. W…
math.CO2016
Infection in Hypergraphs
Ryan Bergen, Shaun Fallat, Adam Gorr +5
In this paper a new parameter for hypergraphs called hypergraph infection is defined. This concept generalizes zero forcing in graphs to hypergraphs. The exact value of the infecti…