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Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...
Mehdi Eliasi, Bijan Taeri, SCHULTZ POLYNOMIALS OF COMPOSITE GRAPHS, Applicable Analysis and Discrete Mathematics, Vol. 2, No. 2 (October 2008), pp. 285-296 ...
Abstract. Let 𝐼(𝐺;𝑥) denote the independence polynomial of a graph 𝐺. In this paper we study the unimodality properties of 𝐼(𝐺;𝑥) for some composite graphs 𝐺. Given two graphs 𝐺₁ and 𝐺₂, let ...