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Bounding the diameter of distance-regular graphs (1988)

Godsil, C. D.

Springer

Combinatorica 8 (1988), S. 333-343

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ISSN: 1439-6912

Keywords: 05 C 99

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract LetG be a connected distance-regular graph with valencyk〉2 and diameterd, but not a complete multipartite graph. Suppose thatθ is an eigenvalue ofG with multiplicitym and thatθ≠±k. We prove that bothd andk are bounded by functions ofm. This implies that, ifm〉1 is given, there are only finitely many connected, co-connected distance-regular graphs with an eigenvalue of multiplicitym.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02189090

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