McMullen, Curtis2016-01-252014McMullen, C. T. 2014. “Entropy and the Clique Polynomial.” Journal of Topology 8 (1) (November 28): 184–212. doi:10.1112/jtopol/jtu022.1753-8416http://nrs.harvard.edu/urn-3:HUL.InstRepos:24890382This paper gives a sharp lower bound on the spectral radius ρ(A) of a reciprocal Perron–Frobenius matrix A ∈ M2g(Z), and shows in particular that ρ(A) g ≥ (3 + √ 5)/2. This bound supports conjectures on the minimal entropy of pseudo-Anosov maps. The proof is based on a study of the curve complex of a directed graph.en-USEntropy and the clique polynomialJournal Article2015-12-28Curtis T. McCullen2016-01-2510.1112/jtopol/jtu022