2 papers
math.CO2022
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…
math.CO2022
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…