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FOCS
2006
IEEE
14 years 2 months ago
Inclusion--Exclusion Algorithms for Counting Set Partitions
Given an n-element set U and a family of subsets S ⊆ 2U we show how to count the number of k-partitions S1 ∪ · · · ∪ Sk = U into subsets Si ∈ S in time 2nnO(1). The only...
Andreas Björklund, Thore Husfeldt
NIPS
2008
13 years 10 months ago
Counting Solution Clusters in Graph Coloring Problems Using Belief Propagation
We show that an important and computationally challenging solution space feature of the graph coloring problem (COL), namely the number of clusters of solutions, can be accurately...
Lukas Kroc, Ashish Sabharwal, Bart Selman
APPROX
2008
Springer
137views Algorithms» more  APPROX 2008»
13 years 10 months ago
Approximating Directed Weighted-Degree Constrained Networks
Given a graph H = (V, F) with edge weights {w(e) : e F}, the weighted degree of a node v in H is {w(vu) : vu F}. We give bicriteria approximation algorithms for problems that see...
Zeev Nutov
ALENEX
2008
180views Algorithms» more  ALENEX 2008»
13 years 10 months ago
Geometric Algorithms for Optimal Airspace Design and Air Traffic Controller Workload Balancing
The National Airspace System (NAS) is designed to accommodate a large number of flights over North America. For purposes of workload limitations for air traffic controllers, the a...
Amitabh Basu, Joseph S. B. Mitchell, Girishkumar S...
LION
2009
Springer
203views Optimization» more  LION 2009»
14 years 3 months ago
Position-Guided Tabu Search Algorithm for the Graph Coloring Problem
A very undesirable behavior of any heuristic algorithm is to be stuck in some specific parts of the search space, in particular in the basins of attraction of the local optima. Wh...
Daniel Cosmin Porumbel, Jin-Kao Hao, Pascale Kuntz