We have observed in the previous chapters that a distance-regular graph possesses a significant property from the viewpoint of quantum decomposition, namely, Γ(G) is invariant under the actions of quantum components. For asymptotics of spectral distribution, however, the invariance is too much to require and asymptotic invariance is sufficient. This property will be formulated for a growing regular graph.
KeywordsAdjacency Matrix Regular Graph Cayley Graph Coxeter Group Diagonal Operator
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