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» Bounding the Number of Edges in Permutation Graphs
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JCO
2011
113views more  JCO 2011»
15 years 1 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
16 years 25 days 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»
16 years 6 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»
15 years 6 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»
16 years 5 days 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...