Acyclic orientations of graphs

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Acyclic orientations of graphs

Let G be a finite graph with p vertices and x its chromatic polynomial. A combinatorial interpretation is given to the positive integer (-l)px(-A), where h is a positive integer, in terms of acyclic orientations of G. In particular, (-l)Px(-1) is the number of acyclic orientations of G. An application is given to the enumeration of labeled acyclic digraphs. An algebra of full binomial type, in ...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1973

ISSN: 0012-365X

DOI: 10.1016/0012-365x(73)90108-8