Article ID Journal Published Year Pages File Type
4601518 Linear Algebra and its Applications 2011 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory