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INFOCOM
2011
IEEE
12 years 9 months ago
Approximate distance queries and compact routing in sparse graphs
—An approximate distance query data structure is a compact representation of a graph, and can be queried to approximate shortest paths between any pair of vertices. Any such data...
Rachit Agarwal, Philip Brighten Godfrey, Sariel Ha...
ESA
2009
Springer
129views Algorithms» more  ESA 2009»
14 years 10 days ago
Constant Ratio Fixed-Parameter Approximation of the Edge Multicut Problem
Abstract. The input of the Edge Multicut problem consists of an undirected graph G and pairs of terminals {s1, t1}, . . . , {sm, tm}; the task is to remove a minimum set of edges s...
Dániel Marx, Igor Razgon
DM
2008
78views more  DM 2008»
13 years 5 months ago
Planarization and fragmentability of some classes of graphs
The coefficient of fragmentability of a class of graphs measures the proportion of vertices that need to be removed from the graphs in the class in order to leave behind bounded s...
Keith Edwards, Graham Farr
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 3 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
FOCS
2002
IEEE
13 years 10 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan