Journal
COMBINATORICS PROBABILITY & COMPUTING
Volume 27, Issue 5, Pages 716-724Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0963548318000135
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In this paper we introduce some Christoffel-Darboux type identities for independence polynomials. As an application, we give a new proof of a theorem of Chudnovsky and Seymour, which states that the independence polynomial of a claw-free graph has only real roots. Another application is related to a conjecture of Merrifield and Simmons.
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