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» The Linear Complexity of a Graph
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SI3D
2003
ACM
15 years 4 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
15 years 6 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
103
Voted
STOC
1996
ACM
115views Algorithms» more  STOC 1996»
15 years 3 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
84
Voted
COMBINATORICA
2008
104views more  COMBINATORICA 2008»
14 years 11 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
94
Voted
IJCNN
2007
IEEE
15 years 6 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...