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pro vyhledávání: '"Heikkinen, Rachel"'
Autor:
Butler, Steve, D'Avanzo, Elena, Heikkinen, Rachel, Jeffries, Joel, Kruczek, Alyssa, Niergarth, Harper
Publikováno v:
Involve 17 (2024) 651-668
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 trees for several matrices, with emphasis on constructions. For the Lapl
Externí odkaz:
http://arxiv.org/abs/2209.03493
Autor:
Butler, Steve, D'Avanzo, Elena, Heikkinen, Rachel, Jeffries, Joel, Kruczek, Alyssa, Niergarth, Harper
We consider matrices of the form $qD+A$, with $D$ being the diagonal matrix of degrees, $A$ being the adjacency matrix, and $q$ a fixed value. Given a graph $H$ and $B\subseteq V(G)$, which we call a coalescent pair $(H,B)$, we derive a formula for t
Externí odkaz:
http://arxiv.org/abs/2209.03492
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 $j$-invariant, the values of suitably normalized elliptic Dedekind sums are dense in the rea
Externí odkaz:
http://arxiv.org/abs/2208.03286