Work

Integer symmetric matrices having all their eigenvalues in the interval [-2,2]

Year: 2007

Type: preprint

Abstract: We completely describe all integer symmetric matrices that have all their eigenvalues in the interval [-2,2]. Along the way we classify all signed graphs, and then all charged signed graphs, having all their eigenvalues in this same interval. We then classify subsets of the above for which the integer symmetric matrices, signed graphs and charged signed graphs have all their eigenvalues in the open interval (-2,2).

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0705.3599

Authors: McKee, James, Smyth, Chris

Institutions: Royal Holloway University of London, Maxwell Institute for Mathematical Sciences, University of Edinburgh

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950530375

Cites: 5

Cited by: 9

Related to: 20