Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598557 | Linear Algebra and its Applications | 2016 | 11 Pages |
Abstract
We study isospectrality for mixed Dirichlet–Neumann boundary conditions and extend the previously derived graph-theoretic formulation of the transplantation method. Led by the theory of Brownian motion, we introduce vertex-colored and edge-colored line graphs that give rise to block diagonal transplantation matrices. In particular, we rephrase the transplantation method in terms of representations of free semigroups and provide a method for generating adjacency cospectral weighted directed graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Peter Herbrich,