37 citations · 79 across the 37 of their papers we have counts for
3 papers · 1 filter
Generalizations of the Strong Arnold Property and the minimum number of distinct eigenvalues of a graph
Wayne Barrett, Shaun Fallat, H. Tracy Hall +3
For a given graph G and an associated class of real symmetric matrices whose off-diagonal entries are governed by the adjacencies in G, the collection of all possible spectra for s…
Total positivity in Markov structures
Shaun Fallat, Steffen Lauritzen, Kayvan Sadeghi +3
We discuss properties of distributions that are multivariate totally positive of order two (MTP2) related to conditional independence. In particular, we show that any independence…
Compressed Cliques Graphs, Clique Coverings and Positive Zero Forcing
Shaun Fallat, Karen Meagher, Abolghasem Soltani +1
Zero forcing parameters, associated with graphs, have been studied for over a decade, and have gained popularity as the number of related applications grows. In particular, it is w…