Chromatic polynomials and order ideals of monomials
نویسندگان
چکیده
منابع مشابه
Chromatic polynomials and order ideals of monomials
One expansion of the chromatic polynomial n(G,x) of a graph G relies on spanning trees of a graph. In fact, for a connected graph G of order n, one can express n(G,x) = (1 )“-‘x cyi’=;’ ti (1 -x)‘, where ti is the nun&r of spanning trees with external activity 0 and internal activity i. Moreover, it is known (via commutative ring theory) that ti arises as the number of monomials of degree n i 1...
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متن کاملchromatic polynomials of some nanostars
let g be a simple graph and (g,) denotes the number of proper vertex colourings of gwith at most colours, which is for a fixed graph g , a polynomial in , which is called thechromatic polynomial of g . using the chromatic polynomial of some specific graphs, weobtain the chromatic polynomials of some nanostars.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1998
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(97)00277-x