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» Bounding the Number of Edges in Permutation Graphs
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ECCC
2008
122views more  ECCC 2008»
13 years 8 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
IWPEC
2004
Springer
14 years 1 months ago
Packing Edge Disjoint Triangles: A Parameterized View
The problem of packing k edge-disjoint triangles in a graph has been thoroughly studied both in the classical complexity and the approximation fields and it has a wide range of ap...
Luke Mathieson, Elena Prieto, Peter Shaw
DAM
2010
111views more  DAM 2010»
13 years 8 months ago
Covering line graphs with equivalence relations
An equivalence graph is a disjoint union of cliques, and the equivalence number eq(G) of a graph G is the minimum number of equivalence subgraphs needed to cover the edges of G. W...
Louis Esperet, John Gimbel, Andrew King
ESA
2006
Springer
139views Algorithms» more  ESA 2006»
14 years 4 days ago
Stochastic Shortest Paths Via Quasi-convex Maximization
Abstract. We consider the problem of finding shortest paths in a graph with independent randomly distributed edge lengths. Our goal is to maximize the probability that the path len...
Evdokia Nikolova, Jonathan A. Kelner, Matthew Bran...
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
14 years 2 months ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki