Matrices and graphs are characterized by their spectral properties. Useful information on graps can be deumed by their associated matrices, while, on the other hand, many interesting results on matrices can be proved by using their associated graph structure, Through some spectral bounds, conditions for connectivity and estimates for some invariant measures of a non oriented graph will be obtained.
Torriero, A., Stefani, S., Spectral properties of matrices and graphs, in Camiz, S., Stefani, S. (ed.), Matrices and Graphs. Theory and Applications to Economics, World Scientific, Singapore 1996: 31- 39 [http://hdl.handle.net/10807/43994]
Spectral properties of matrices and graphs
Torriero, Anna;Stefani, Silvana
1996
Abstract
Matrices and graphs are characterized by their spectral properties. Useful information on graps can be deumed by their associated matrices, while, on the other hand, many interesting results on matrices can be proved by using their associated graph structure, Through some spectral bounds, conditions for connectivity and estimates for some invariant measures of a non oriented graph will be obtained.
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