Salem Numbers, Pisot Numbers, Mahler Measure, and Graphs

DOI10.1080/10586458.2005.10128915zbMath1082.11066arXivmath/0503480OpenAlexW2016932409MaRDI QIDQ5709307

James McKee, Christopher J. Smyth

Publication date: 29 November 2005

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503480

zbMATH Keywords

Mahler measurePisot numberSalem numbergraph eigenvalue

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (21)

Cyclotomic matrices over the Eisenstein and Gaussian integers ⋮ Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros ⋮ Abelian spiders and real cyclotomic integers ⋮ Beta expansion for some particular sequences of Salem numbers ⋮ Small Mahler Measures From Digraphs ⋮ Every Salem number is a difference of two Pisot numbers ⋮ Salem numbers of trace -2, and a conjecture of Estes and Guralnick ⋮ Counting invertible Schrödinger operators over finite fields for trees, cycles and complete graphs ⋮ Notes on the second largest eigenvalue of a graph ⋮ Graphs with least eigenvalue \(-2\): ten years on ⋮ Integer symmetric matrices having all their eigenvalues in the interval \([ - 2,2\)] ⋮ Cyclotomic integers, fusion categories, and subfactors ⋮ Coxeter energy of graphs ⋮ Cyclotomic factors of Coxeter polynomials ⋮ CYCLOTOMIC EXPANSION OF EXCEPTIONAL SPECTRAL MEASURES ⋮ Constructions of Pisot and Salem numbers with flat palindromes ⋮ A classification of all 1-Salem graphs ⋮ Reflexive line graphs of trees and Salem numbers ⋮ Salem numbers defined by Coxeter transformation ⋮ Seventy years of Salem numbers ⋮ Reflexive line graphs of trees

This page was built for publication: Salem Numbers, Pisot Numbers, Mahler Measure, and Graphs