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» Approximating the Maximum Sharing Problem
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FOCS
2008
IEEE
15 years 27 days ago
On the Approximability of Budgeted Allocations and Improved Lower Bounds for Submodular Welfare Maximization and GAP
In this paper we consider the following maximum budgeted allocation (MBA) problem: Given a set of m indivisible items and n agents; each agent i willing to pay bij on item j and w...
Deeparnab Chakrabarty, Gagan Goel
CORR
2006
Springer
164views Education» more  CORR 2006»
14 years 12 months ago
Approximation Algorithms for Restricted Cycle Covers Based on Cycle Decompositions
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey
IPL
2006
84views more  IPL 2006»
14 years 11 months ago
On the hardness of approximating Max-Satisfy
Max-Satisfy is the problem of finding an assignment that satisfies the maximum number of equations in a system of linear equations over Q. We prove that unless NPBPP Max-Satisfy c...
Uriel Feige, Daniel Reichman
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
14 years 11 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, ...
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
15 years 6 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...