Covering a hypergraph of subgraphs

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Covering a hypergraph of subgraphs
Let G be a tree and let H be a collection of subgraphs of G, each having at most d connected components. Let (H) denote the maximum number of members of H no two of which share a common vertex, and let (H) denote the minimum cardinality of a set of vertices of G that intersects all members of H. It is shown that (H) 2d2 (H). A similar, more general result is proved replacing the assumption that G is a tree by the assumption that it has a bounded tree-width. These improve and extend results of various researchers.
Noga Alon
Added 18 Dec 2010
Updated 18 Dec 2010
Type Journal
Year 2002
Where DM
Authors Noga Alon
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