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158
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ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
15 years 7 months ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
EVOW
2006
Springer
15 years 7 months ago
Improving Graph Colouring Algorithms and Heuristics Using a Novel Representation
Abstract. We introduce a novel representation for the graph colouring problem, called the Integer Merge Model, which aims to reduce the time complexity of an algorithm. Moreover, o...
István Juhos, Jano I. van Hemert
ECCC
2006
112views more  ECCC 2006»
15 years 4 months ago
Faster algorithms for finding lowest common ancestors in directed acyclic graphs
We present two new methods for finding a lowest common ancestor (LCA) for each pair of vertices of a directed acyclic graph (dag) on n vertices and m edges. The first method is su...
Artur Czumaj, Miroslaw Kowaluk, Andrzej Lingas
SAC
2010
ACM
15 years 11 months ago
MSP algorithm: multi-robot patrolling based on territory allocation using balanced graph partitioning
This article addresses the problem of efficient multi-robot patrolling in a known environment. The proposed approach assigns regions to each mobile agent. Every region is represen...
David Portugal, Rui Rocha
123
Voted
MFCS
1995
Springer
15 years 7 months ago
Graph Inference from a Walk for TRees of Bounded Degree 3 is NP-Complete
The graph inference from a walk for a class C of undirected edge-colored graphs is, given a string x of colors, nding the smallest graph G in C that allows a traverse of all edge...
Osamu Maruyama, Satoru Miyano