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SI3D
2003
ACM
14 years 1 months ago
Interactive navigation in complex environments using path planning
We present a novel approach for interactive navigation in complex 3D synthetic environments using path planning. Our algorithm precomputes a global roadmap of the environment by u...
Brian Salomon, Maxim Garber, Ming C. Lin, Dinesh M...
FOCS
2009
IEEE
14 years 2 months ago
The Complexity of Rationalizing Network Formation
— We study the complexity of rationalizing network formation. In this problem we fix an underlying model describing how selfish parties (the vertices) produce a graph by making...
Shankar Kalyanaraman, Christopher Umans
STOC
1996
ACM
115views Algorithms» more  STOC 1996»
13 years 12 months ago
Minimum Cuts in Near-Linear Time
We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...
David R. Karger
COMBINATORICA
2008
104views more  COMBINATORICA 2008»
13 years 7 months ago
Linearity of grid minors in treewidth with applications through bidimensionality
We prove that any H-minor-free graph, for a fixed graph H, of treewidth w has an (w)
Erik D. Demaine, MohammadTaghi Hajiaghayi
IJCNN
2007
IEEE
14 years 2 months ago
Branching Principal Components: Elastic Graphs, Topological Grammars and Metro Maps
— To approximate complex data, we propose new type of low-dimensional “principal object”: principal cubic complex. This complex is a generalization of linear and nonlinear pr...
Alexander N. Gorban, Neil R. Sumner, Andrei Yu. Zi...