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Spectral characterizations of some distance-regular graphs

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Author Info
Dam, E.R. van
Haemers, W.H. (Tilburg University, Faculty of Economics and Business Administration)

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Abstract

When can one see from the spectrum of a graph whether it is distance-regular or not? We give some new results for when this is the case. As a consequence we find (among others) that the following distance-regular graphs are uniquely determined by their spectrum: The collinearity graphs of the generalized octagons of order (2; 1), (3; 1) and (4; 1), the Biggs-Smith graph, the M22 graph, and the coset graphs of the doubly truncated binary Golay code and the extended ternary Golay code.

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Paper provided by Tilburg University, Faculty of Economics and Business Administration in its series Research Memorandum with number 793.

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Date of creation: 2000
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Handle: RePEc:dgr:kubrem:2000793

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