Coxeter polynomials of Salem trees
Charalampos A. Evripidou
Colloquium Mathematicae, Tome 139 (2015), p. 209-226 / Harvested from The Polish Digital Mathematics Library
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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 that if z is a root of multiplicities m₁,...,mk for the Coxeter polynomials of the trees ₁,...,k respectively, then z is a root for the Coxeter polynomial of their join, of multiplicity at least minm-m₁,...,m-mk where m=m₁+⋯+mk.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:284045 
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     title = {Coxeter polynomials of Salem trees},
     journal = {Colloquium Mathematicae},
     volume = {139},
     year = {2015},
     pages = {209-226},
     zbl = {1339.16016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm141-2-6}
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Charalampos A. Evripidou. Coxeter polynomials of Salem trees. Colloquium Mathematicae, Tome 139 (2015) pp. 209-226. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm141-2-6/