5 citations · 22 across the 23 of their papers we have counts for
6 papers · 1 filter
Pretty good fractional revival via magnetic fields: theory and examples
Whitney Drazen, Mark Kempton, Gabor Lippner
We develop the theory of pretty good quantum fractional revival in arbitrary sized subsets of a graph, including the theory for fractional cospectrality of subsets of arbitrary siz…
Bounds on Kemeny's constant of a graph and the Nordhaus-Gaddum problem
Sooyeong Kim, Neal Madras, Ada Chan +3
We study Nordhaus-Gaddum problems for Kemeny's constant of a connected graph . We prove bounds on and the pro…
Kemeny's constant and enumerating Braess edges in trees
Jihyeug Jang, Mark Kempton, Sooyeong Kim +3
We study the problem of enumerating Braess edges for Kemeny's constant in trees. We obtain bounds and asympotic results for the number of Braess edges in some families of trees.
Zero Forcing on 2-connected Outerplanar Graphs
Nolan Ison, Mark Kempton, Franklin Kenter
We determine upper and lower bounds on the zero forcing number of 2-connected outerplanar graphs in terms of the structure of the weak dual. We show that the upper bound is always…
A Nordhaus-Gaddum type problem for the normalized Laplacian spectrum and graph Cheeger constant
J. Nolan Faught, Mark Kempton, Adam Knudson
For a graph on vertices with normalized Laplacian eigenvalues and graph complement , we prove that \begin{equation*} \…
Bordering of Symmetric Matrices and an Application to the Minimum Number of Distinct Eigenvalues for the Join of Graphs
Aida Abiad, Shaun M. Fallat, Mark Kempton +5
An important facet of the inverse eigenvalue problem for graphs is to determine the minimum number of distinct eigenvalues of a particular graph. We resolve this question for the j…