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CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 8 months ago
Incremental Sampling-based Algorithms for Optimal Motion Planning
During the last decade, incremental sampling-based motion planning algorithms, such as the Rapidly-exploring Random Trees (RRTs), have been shown to work well in practice and to po...
Sertac Karaman, Emilio Frazzoli
SIAMDM
2008
79views more  SIAMDM 2008»
13 years 8 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...
ALGORITHMICA
1998
73views more  ALGORITHMICA 1998»
13 years 7 months ago
Linear Probing and Graphs
Mallows and Riordan showed in 1968 that labeled trees with a small number of inversions are related to labeled graphs that are connected and sparse. Wright enumerated sparse connec...
Donald E. Knuth
CIAC
2006
Springer
97views Algorithms» more  CIAC 2006»
13 years 11 months ago
Network Discovery and Verification with Distance Queries
The network discovery (verification) problem asks for a minimum subset Q V of queries in an undirected graph G = (V, E) such that these queries discover all edges and non-edges o...
Thomas Erlebach, Alexander Hall, Michael Hoffmann ...
CPC
2006
110views more  CPC 2006»
13 years 8 months ago
Bootstrap Percolation on Infinite Trees and Non-Amenable Groups
Abstract. Bootstrap percolation on an arbitrary graph has a random initial configuration, where each vertex is occupied with probability p, independently of each other, and a deter...
József Balogh, Yuval Peres, Gábor Pe...