Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601518 | Linear Algebra and its Applications | 2011 | 9 Pages |
Abstract
For a distance-regular graph with second largest eigenvalue (resp., smallest eigenvalue) θ1 (resp., θD) we show that (θ1+1)(θD+1)⩽-b1 holds, where equality only holds when the diameter equals two. Using this inequality we study distance-regular graphs with fixed second largest eigenvalue.
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