Coxeter Polynomials of Salem trees
classification
🧮 math.SP
math.CO
keywords
coxetertreessalemtransformationscomputeeigenvaluesfamilyinfinity
read the original abstract
We compute the Coxeter polynomial of a family of Salem trees, and also the limit of the spectral radii of their Coxeter transformations as the number of their vertices tends to infinity. We also prove a relation about multiplicities of eigenvalues of Coxeter transformations of joins of trees.
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