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» Bounding the Number of Edges in Permutation Graphs
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ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
15 years 11 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»
15 years 6 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
16 years 25 days 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
15 years 4 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
15 years 11 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