The Spectra of Coxeter Graphs
A.E. Brouwer
and R.J. Riebeek
AND
DOI: 10.1023/A:1008670825910
Abstract
We determine the spectra of the finite Coxeter graphs defined by a terminal node of the Coxeter diagram, and the spectra of their thick equivalents.
Pages: 15–28
Keywords: association scheme; Coxeter graph; graph of Lie type; spectra of graphs
Full Text: PDF
References
1. A.E. Brouwer and A.M. Cohen, “Computation of some parameters of Lie geometries,” Annals of Discr. Math. 26 (1983), 1-48.
2. A.E. Brouwer, A.M. Cohen, and A. Neumaier, Distance-Regular Graphs, Springer, Heidelberg, 1989.
3. A.M. Cohen, “Points and lines in metasymplectic spaces,” Annals of Discrete Mathematics 18 (1983), 193-196.
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6. Yasushi Gomi, “Character tables of commutative Hecke algebras associated with finite Chevalley groups of exceptional type,” Comm. in Alg. 22(11) (1994), 4361-4372.
2. A.E. Brouwer, A.M. Cohen, and A. Neumaier, Distance-Regular Graphs, Springer, Heidelberg, 1989.
3. A.M. Cohen, “Points and lines in metasymplectic spaces,” Annals of Discrete Mathematics 18 (1983), 193-196.
4. D.M. Cvetković, M. Doob, and H. Sachs, Spectra of Graphs, V.E.B. Deutscher Verlag der Wissenschaften, Berlin, 1979 and Academic Press, New York, 1980.
5. Yasushi Gomi, “Character tables of commutative Hecke algebras associated with exceptional Weyl groups,” Comm. in Alg. 22(1) (1994), 123-138.
6. Yasushi Gomi, “Character tables of commutative Hecke algebras associated with finite Chevalley groups of exceptional type,” Comm. in Alg. 22(11) (1994), 4361-4372.