The Number of Dependent Arcs in an Acyclic Orientation
نویسندگان
چکیده
منابع مشابه
The Number of Dependent Arcs in an Acyclic Orientation
Let G be a graph with n nodes, e edges, chromatic number and girth g. In an acyclic orientation of G, an arc is dependent if its reversal creates a cycle. It is well known that if < g, then G has an acyclic orientation without dependent arcs. Edelman showed that if G is connected, then every acyclic orientation has at most e ? n + 1 dependent arcs. We show that if G is connected and < g, then G...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1997
ISSN: 0095-8956
DOI: 10.1006/jctb.1997.1769