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

By J. McKee, C. Smyth. 2007

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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 ) .

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d5862e59b5abbf3db461bae4b92cdf9fa8707ca3