A carregar...
Publicação
Multiplicity lists by diameter
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 592.55 KB | Adobe PDF |
Orientador(es)
Resumo(s)
This paper considers the problem of determining all multiplicity lists occurring among Hermitian matrices whose graph is a given tree from a new perspective. For all trees of diameter <7, it is shown how to generate all possible lists. For diameter 5 and 6, this includes many nonlinear trees. In the process, for diameter 4 (double stars), the first succinct and direct description of all ordered lists, for each instance, is given. Observations of topological relationships are helpful.
Descrição
Publisher Copyright: © 2025 The Authors
Palavras-chave
Eigenvalues Hermitian matrices Inverse eigenvalue problem Multiplicities Trees Algebra and Number Theory Numerical Analysis Geometry and Topology Discrete Mathematics and Combinatorics