2 papers
math.CO2018
Graphs that are cospectral for the distance Laplacian
Boris Brimkov, Ken Duna, Leslie Hogben +4
The distance matrix of a graph is the matrix containing the pairwise distances between vertices, and the distance Laplacian matrix is $\mathcal{D}^L(G)=T(G)-\m…
math.CO2017
Higher Nerves of Simplicial Complexes
Hailong Dao, Joseph Doolittle, Ken Duna +3
We investigate generalized notions of the nerve complex for the facets of a simplicial complex. We show that the homologies of these higher nerve complexes determine the depth of t…