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» On Bounds for the k-Partitioning of Graphs
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FOCS
2009
IEEE
15 years 4 months ago
Regularity Lemmas and Combinatorial Algorithms
— We present new combinatorial algorithms for Boolean matrix multiplication (BMM) and preprocessing a graph to answer independent set queries. We give the first asymptotic impro...
Nikhil Bansal, Ryan Williams
CSR
2009
Springer
15 years 4 months ago
On the Complexity of Matroid Isomorphism Problems
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σp 2 . In the case of linear matroids, which are represented over poly...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
EVOW
2007
Springer
15 years 4 months ago
Generation of Tree Decompositions by Iterated Local Search
Many instances of NP-hard problems can be solved efficiently if the treewidth of their corresponding graph is small. Finding the optimal tree decompositions is an NP-hard problem a...
Nysret Musliu
ICRA
2003
IEEE
108views Robotics» more  ICRA 2003»
15 years 3 months ago
PCG: a foothold selection algorithm for spider robot locomotion in 2D tunnels
This paper presents an algorithm, called PCG, for planning the foothold positions of spider-like robots in planar tunnels bounded by piecewise linear walls. The paper focuses on 3-...
Amir Shapiro, Elon Rimon
ICALP
2001
Springer
15 years 2 months ago
Approximation Algorithms for Partial Covering Problems
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
Rajiv Gandhi, Samir Khuller, Aravind Srinivasan