By Fan R. K. Chung: 207 pp., US$25.00, isbn 0 8218 0315 8 (American Mathematical Society, 1997). EIGENSPACES OF GRAPHS (Encyclopedia of Mathematics and Its Applications 66) By Dragos Cvetkovic, Peter Rowlinson and Slobodan Simic: 258 pp., £45.00, isbn 0 521 57352 1 (Cambridge University Press, 1997).
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Norman Biggs (1998) studied this question.