Width and dual width of subsets in polynomial association schemes

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چکیده

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Width and dual width of subsets in polynomial association schemes

The width of a subset C of the vertices of a distance-regular graph is the maximum distance which occurs between elements of C. Dually, the dual width of a subset in a cometric association scheme is the index of the “last” eigenspace in the Q-polynomial ordering to which the characteristic vector of C is not orthogonal. Elementary bounds are derived on these two new parameters. We show that any...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2003

ISSN: 0097-3165

DOI: 10.1016/s0097-3165(03)00006-2