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» Inapproximability of the Tutte polynomial
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ICALP
2010
Springer
13 years 11 months ago
Sparse Reliable Graph Backbones
Given a connected graph G and a failure probability pe for each edge e in G, the reliability of G is the probability that G remains connected when each edge e is removed independe...
Shiri Chechik, Yuval Emek, Boaz Patt-Shamir, David...
CSL
2008
Springer
13 years 11 months ago
On Counting Generalized Colorings
Abstract. The notion of graph polynomials definable in Monadic Second Order Logic, MSOL, was introduced in [Mak04]. It was shown that the Tutte polynomial and its generalization, a...
Tomer Kotek, Johann A. Makowsky, Boris Zilber
COLOGNETWENTE
2010
13 years 8 months ago
Approximating Independent Set in Semi-Random Graphs
We present an algorithm for the independent set problem on semi-random graphs, which are generated as follows: An adversary chooses an n-vertex graph, and then each edge is flipp...
Bodo Manthey, Kai Plociennik
APPROX
2007
Springer
102views Algorithms» more  APPROX 2007»
14 years 4 months ago
Hardness of Embedding Metric Spaces of Equal Size
Abstract. We study the problem embedding an n-point metric space into another n-point metric space while minimizing distortion. We show that there is no polynomial time algorithm t...
Subhash Khot, Rishi Saket
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 3 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...