3 papers
math.CO2022
Spectral faux trees
Steve Butler, Elena D'Avanzo, Rachel Heikkinen +3
A spectral faux tree with respect to a given matrix is a graph which is not a tree but is cospectral with a tree for the given matrix. We consider the existence of spectral faux tr…
math.CO2022
Complements of coalescing sets
Steve Butler, Elena D'Avanzo, Rachel Heikkinen +3
We consider matrices of the form , with being the diagonal matrix of degrees, being the adjacency matrix, and a fixed value. Given a graph and $B\subseteq V(G…
math.NT2022
The Density of Elliptic Dedekind Sums
Nicolas Berkopec, Jacob Branch, Rachel Heikkinen +2
Elliptic Dedekind sums were introduced by R. Sczech as generalizations of classical Dedekind sums to complex lattices. We show that for any lattice with real -invariant, the val…