15 citations · 15 across the 3 of their papers we have counts for
3 papers · 1 filter
Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph
Beth Bjorkman, Leslie Hogben, Scarlitte Ponce +2
We establish new bounds on the minimum number of distinct eigenvalues among real symmetric matrices with nonzero off-diagonal pattern described by the edges of a graph and apply th…
Counting prime juggling patterns
Esther Banaian, Steve Butler, Christopher Cox +3
Juggling patterns can be described by a closed walk in a (directed) state graph, where each vertex (or state) is a landing pattern for the balls and directed edges connect states t…
A generalization of Eulerian numbers via rook placements
Esther Banaian, Steve Butler, Christopher Cox +3
We consider a generalization of Eulerian numbers which count the number of placements of "rooks" on an board where there are exactly rooks in each row and each…