1 citations · 3 across the 9 of their papers we have counts for
3 papers · 1 filter
On the Laplacian spread of digraphs
Wayne Barrett, Thomas R. Cameron, Emily Evans +2
In this article, we extend the notion of the Laplacian spread to simple directed graphs (digraphs) using the restricted numerical range. First, we provide Laplacian spread values f…
Sparsity of Graphs that Allow Two Distinct Eigenvalues
Wayne Barrett, Shaun Fallat, Veronika Furst +5
The parameter of a graph is the minimum number of distinct eigenvalues over the family of symmetric matrices described by . It is shown that the minimum number of edg…
New conjectures on algebraic connectivity and the Laplacian spread of graphs
Wayne Barrett, Emily Evans, H. Tracy Hall +1
We conjecture a new lower bound on the algebraic connectivity of a graph that involves the number of vertices of high eccentricity in a graph. We prove that this lower bound implie…