The **connective constant** is a term used in statistical physics and combinatorics, particularly in the study of percolation theory and random walks on lattices. It quantifies the growth rate of connected clusters in a random graph or a lattice structure.
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If counts the -step self-avoiding walks from a fixed vertex of a transitive lattice, the connective constant is the exponential growth rateSubmultiplicativity of and the Fekete lemma applied to prove existence of this limit.