Developments on spectral characterizations of graphs |
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Authors: | Edwin R van Dam |
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Institution: | Tilburg University, Department of Econometrics and O.R., P.O. Box 90153, 5000 LE Tilburg, The Netherlands |
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Abstract: | In E.R. van Dam, W.H. Haemers, Which graphs are determined by their spectrum? Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph. In particular, the usual adjacency matrix and the Laplacian matrix were addressed. Furthermore, we formulated some research questions on the topic. In the meantime, some of these questions have been (partially) answered. In the present paper we give a survey of these and other developments. |
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Keywords: | Spectra of graphs Cospectral graphs Generalized adjacency matrices Distance-regular graphs |
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