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» A Multiagent Algorithm for Graph Partitioning
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FOCS
2000
IEEE
14 years 11 days ago
A polylogarithmic approximation of the minimum bisection
A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
Uriel Feige, Robert Krauthgamer
CGF
1999
125views more  CGF 1999»
13 years 7 months ago
Partitioning and Handling Massive Models for Interactive Collision Detection
We describe an approach for interactive collision detection and proximity computations on massive models composed of millions of geometric primitives. We address issues related to...
Andy Wilson, Eric Larsen, Dinesh Manocha, Ming C. ...
CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
14 years 5 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar
IWPEC
2009
Springer
14 years 2 months ago
Partitioning into Sets of Bounded Cardinality
Abstract. We show that the partitions of an n-element set into k members of a given set family can be counted in time O((2− )n ), where > 0 depends only on the maximum size am...
Mikko Koivisto
AMC
2005
145views more  AMC 2005»
13 years 7 months ago
Connectivity graphs as models of local interactions
In this paper, we study graphs that arise from certain sensory and communication limitations on the local interactions in multi-agent systems. In particular, we show that the set ...
Abubakr Muhammad, Magnus Egerstedt