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» Bounding the Number of Edges in Permutation Graphs
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JCO
2011
113views more  JCO 2011»
13 years 4 months ago
Hardness and algorithms for rainbow connection
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, denoted r...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
FOCS
2009
IEEE
14 years 4 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu
STOC
2002
ACM
99views Algorithms» more  STOC 2002»
14 years 10 months ago
Recognizing string graphs in NP
A string graph is the intersection graph of a set of curves in the plane. Each curve is represented by a vertex, and an edge between two vertices means that the corresponding curv...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
ENDM
2007
74views more  ENDM 2007»
13 years 9 months ago
The order of the largest complete minor in a random graph
Let ccl(G) denote the order of the largest complete minor in a graph G (also called the contraction clique number) and let Gn,p denote a random graph on n vertices with edge probab...
Nikolaos Fountoulakis, Daniela Kühn, Deryk Os...
WDAG
2007
Springer
105views Algorithms» more  WDAG 2007»
14 years 3 months ago
Rendezvous of Mobile Agents in Unknown Graphs with Faulty Links
A group of identical mobile agents moving asynchronously among the nodes of an anonymous network have to gather together in a single node of the graph. This problem known as the (a...
Jérémie Chalopin, Shantanu Das, Nico...