Note on the Smallest Root of the Independence Polynomial

PÉTER CSIKVÁRI
2012 Combinatorics, probability & computing  
One can define the independence polynomial of a graph G as follows. Let i k (G) denote the number of independent sets of size k of G, where i 0 (G) = 1. Then the independence polynomial of G is
doi:10.1017/s0963548312000302 fatcat:iovbtk6u5zbc5ombaxq265fn4e