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Developments on spectral characterizations of graphs
van Dam,E.R. ; Haemers,W.H.
van Dam,E.R.
Haemers,W.H.
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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Appeared earlier as CentER Discussion Paper 2007-33
Date
2009
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VANDAM35_dsupdate.pdf
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van Dam, E R & Haemers, W H 2009, 'Developments on spectral characterizations of graphs', Discrete Mathematics, vol. 309, no. 3, pp. 576-586.
