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» The Alcuin Number of a Graph
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DAM
2008
83views more  DAM 2008»
13 years 8 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev
FSTTCS
2009
Springer
14 years 2 months ago
Subexponential Algorithms for Partial Cover Problems
Partial Cover problems are optimization versions of fundamental and well studied problems like Vertex Cover and Dominating Set. Here one is interested in covering (or dominating) ...
Fedor V. Fomin, Daniel Lokshtanov, Venkatesh Raman...
DAM
2008
87views more  DAM 2008»
13 years 8 months ago
Partial characterizations of clique-perfect graphs I: Subclasses of claw-free graphs
A clique-transversal of a graph G is a subset of vertices that meets all the cliques of G. A clique-independent set is a collection of pairwise vertex-disjoint cliques. The clique...
Flavia Bonomo, Maria Chudnovsky, Guillermo Dur&aac...
ISAAC
2005
Springer
127views Algorithms» more  ISAAC 2005»
14 years 1 months ago
On Complexity and Approximability of the Labeled Maximum/Perfect Matching Problems
In this paper, we deal with both the complexity and the approximability of the labeled perfect matching problem in bipartite graphs. Given a simple graph G = (V, E) with n vertices...
Jérôme Monnot
FOCS
2000
IEEE
14 years 18 days ago
A polylogarithmic approximation of the minimum bisection
A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
Uriel Feige, Robert Krauthgamer