English

The maximum of the minimal multiplicity of eigenvalues of symmetric matrices whose pattern is constrained by a graph

Spectral Theory 2016-06-17 v1

Abstract

In this paper we introduce a parameter Mm(G)Mm(G), defined as the maximum over the minimal multiplicities of eigenvalues among all symmetric matrices corresponding to a graph GG. We compute Mm(G)Mm(G) for several families of graphs.

Keywords

Cite

@article{arxiv.1606.05214,
  title  = {The maximum of the minimal multiplicity of eigenvalues of symmetric matrices whose pattern is constrained by a graph},
  author = {Polona Oblak and Helena Šmigoc},
  journal= {arXiv preprint arXiv:1606.05214},
  year   = {2016}
}