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» Bounding the Number of Edges in Permutation Graphs
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ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
14 years 2 months ago
Boosting Spectral Partitioning by Sampling and Iteration
A partition of a set of n items is a grouping of the items into k disjoint classes of equal size. Any partition can be modeled as a graph: the items become the vertices of the grap...
Joachim Giesen, Dieter Mitsche
ALGORITHMICA
2008
111views more  ALGORITHMICA 2008»
13 years 8 months ago
Fixed-Parameter Complexity of Minimum Profile Problems
The profile of a graph is an integer-valued parameter defined via vertex orderings; it is known that the profile of a graph equals the smallest number of edges of an interval supe...
Gregory Gutin, Stefan Szeider, Anders Yeo
FOCS
2009
IEEE
14 years 3 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
WG
2010
Springer
13 years 6 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
SPAA
2003
ACM
14 years 1 months ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman