Bicycle Dimension and Special Points of the Tutte Polynomial
نویسندگان
چکیده
منابع مشابه
Tutte Polynomials and Bicycle Dimension of Ternary Matroids
Let M be a ternary matroid, t(M,x,y) be its Tutte polynomial and d(M) be the dimension of the bicycle space of any representation of M over GF(3) . We show that, for j = e2'"/3, the modulus of the complex number t(M,j,j2) is equal to (v/3)'/(M) . The proof relies on the study of the weight enumerator Wv\y) of the cycle space £* of a representation of M over GF(3) evaluated at y = j . The main t...
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The Tutte polynomial of a graph G, T(G, x,y) is a polynomial in two variables defined for every undirected graph contains information about how the graph is connected. In this paper a simple formula for computing Tutte polynomial of a benzenoid chain is presented.
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متن کاملon the tutte polynomial of benzenoid chains
the tutte polynomial of a graph g, t(g, x,y) is a polynomial in two variables defined for every undirected graph contains information about how the graph is connected. in this paper a simple formula for computing tutte polynomial of a benzenoid chain is presented.
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1998
ISSN: 0095-8956
DOI: 10.1006/jctb.1998.1860