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- W254109309 abstract "This thesis will focus on the consequences of a distance-regular graph possessing an eigenvalue of low multiplicity. We obtain information about such graphs by studying their image configurations under a natural representation in Euclidean space. In particular, the diameter and valency of a distance-regular graph is bounded by a function of the multiplicity of an eigenvalue. We first discuss spherical Zdistance sets and equiangular lines, and give a new proof for the fact that the size of a spherical Zdistance set can be at most 6 in R3, 10 in R4 and 16 in R respectively. Then we classify the distance-regular graphs with an eigenvalue of multiplicity four or five." @default.
- W254109309 created "2016-06-24" @default.
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- W254109309 date "1989-01-01" @default.
- W254109309 modified "2023-09-27" @default.
- W254109309 title "Distance-regular graphs and eigenvalue multiplicities" @default.
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