On the spectra of Johnson graphs
نویسنده
چکیده
The spectrum of a Johnson graph is known to be given by the Eberlein polynomial. In this paper, we present a straightforward representation-theoretic derivation of this fact. We also discuss some consequences of this formula, such as the fact that infinitely many of them are Ramanujan. subject classification: spherical functions: 43A90, subgroups of symmetric groups: 20B35, graph theory: 05C99, symmetric spaces:53C35
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تاریخ انتشار 2007