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SIAMCOMP
2002
139views more  SIAMCOMP 2002»
15 years 6 months ago
Approximating the Domatic Number
A set of vertices in a graph is a dominating set if every vertex outside the set has a neighbor in the set. The domatic number problem is that of partitioning the vertices of a gra...
Uriel Feige, Magnús M. Halldórsson, ...
CSB
2005
IEEE
125views Bioinformatics» more  CSB 2005»
16 years 23 days ago
Islands of Tractability for Parsimony Haplotyping
We study the parsimony approach to haplotype inference, which calls for finding a set of haplotypes of minimum cardinality that explains an input set of genotypes. We prove that ...
Roded Sharan, Bjarni V. Halldórsson, Sorin ...
ALDT
2009
Springer
149views Algorithms» more  ALDT 2009»
15 years 11 months ago
On the Complexity of Efficiency and Envy-Freeness in Fair Division of Indivisible Goods with Additive Preferences
We study the problem of allocating a set of indivisible goods to a set of agents having additive preferences. We introduce two new important complexity results concerning efficienc...
Bart de Keijzer, Sylvain Bouveret, Tomas Klos, Yin...
DM
2008
88views more  DM 2008»
15 years 7 months ago
Packing triangles in low degree graphs and indifference graphs
We consider the problems of finding the maximum number of vertex-disjoint triangles (VTP) and edge-disjoint triangles (ETP) in a simple graph. Both problems are NP-hard. The algor...
Gordana Manic, Yoshiko Wakabayashi
FOCS
2000
IEEE
15 years 11 months 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