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Titlebook: Distance-Regular Graphs; Andries E. Brouwer,Arjeh M. Cohen,Arnold Neumaier Book 1989 Springer-Verlag Berlin Heidelberg 1989 Arithmetic.Lie

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Incidence, Prevalence, and ClassificationIn the later sections almost all known infinite families of distance-transitive graphs are described in this framework. The chapter ends with a determination of all distance-transitive graphs which naturally arise from a Tits system in a finite Chevalley group. Much more information on Tits systems,
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The Decubitus Ulcer in Clinical Practicer 9 and implicitly in the context of parabolic representations of groups of Lie type. The nonisotropic points usually fall into a few orbits of the isometry group. The permutation rank of these orbits depends on the cardinality of the underlying field. We show that only in a few cases the related gr
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https://doi.org/10.1007/978-3-642-74341-2Arithmetic; Lie; geometry; mathematics; proof; symmetric relation; combinatorics
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978-3-642-74343-6Springer-Verlag Berlin Heidelberg 1989
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Fluctuations of Conserved ChargesMotivated by applications to the classification of certain distance-regular graphs we consider representations of graphs by sets of vectors in a Euclidean space.
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The Decubitus Ulcer in Clinical PracticeIn this chapter we discuss the known infinite families of graphs with classical parameters, except for some graphs of Lie type, treated in the next chapter. A few sporadic graphs with classical parameters can be found in Chapters 3 and 11, cf. Table 6.1.
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