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SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 6 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
INFOCOM
2002
IEEE
14 years 1 months ago
On Distinguishing between Internet Power Law Topology Generators
— Recent work has shown that the node degree in the WWW induced graph and the AS-level Internet topology exhibit power laws. Since then several algorithms have been proposed to g...
Tian Bu, Donald F. Towsley
COCOON
2005
Springer
14 years 2 months ago
Bounded Degree Closest k-Tree Power Is NP-Complete
Abstract. An undirected graph G = (V, E) is the k-power of an undirected tree T = (V, E ) if (u, v) ∈ E iff u and v are connected by a path of length at most k in T. The tree T ...
Michael Dom, Jiong Guo, Rolf Niedermeier
ADHOCNOW
2003
Springer
14 years 1 months ago
Topology Control Problems under Symmetric and Asymmetric Power Thresholds
We consider topology control problems where the goal is to assign transmission powers to the nodes of an ad hoc network so as to induce graphs satisfying specific properties. The ...
Sven Oliver Krumke, Rui Liu, Errol L. Lloyd, Madha...
ICML
2010
IEEE
13 years 9 months ago
Power Iteration Clustering
We present a simple and scalable graph clustering method called power iteration clustering (PIC). PIC finds a very low-dimensional embedding of a dataset using truncated power ite...
Frank Lin, William W. Cohen