The chromatic polynomial of an unlabeled graph
نویسندگان
چکیده
منابع مشابه
An extension of the bivariate chromatic polynomial
K.Dohmen, A.Pönitz and P.Tittman (2003), introduced a bivariate generalization of the chromatic polynomial P (G, x, y) which subsumes also the independent set polynomial of I. Gutman and F. Harary, (1983) and the vertex-cover polynomial of F.M. Dong, M.D. Hendy, K.T. Teo and C.H.C. Little (2002). We first show that P (G, x, y) has a recursive definition with respect to three kinds of edge elimi...
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The Wiener index is a graph invariant that has found extensive application in chemistry. In addition to that a generating function, which was called the Wiener polynomial, who’s derivate is a q-analog of the Wiener index was defined. In an article, Sagan, Yeh and Zhang in [The Wiener Polynomial of a graph, Int. J. Quantun Chem., 60 (1996), 959969] attained what graph operations do to the Wiene...
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توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولApproximating the Chromatic Polynomial
Chromatic polynomials are important objects in graph theory and statistical physics, but as a result of computational difficulties, their study is limited to graphs that are small, highly structured, or very sparse. We have devised and implemented two algorithms that approximate the coefficients of the chromatic polynomial P (G,x), where P (G, k) is the number of proper k-colorings of a graph G...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1985
ISSN: 0095-8956
DOI: 10.1016/0095-8956(85)90068-1