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» Diameter and connectivity of 3-arc graphs
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PODC
2004
ACM
14 years 29 days ago
Analyzing Kleinberg's (and other) small-world Models
We analyze the properties of Small-World networks, where links are much more likely to connect “neighbor nodes” than distant nodes. In particular, our analysis provides new re...
Charles U. Martel, Van Nguyen
ISPA
2007
Springer
14 years 1 months ago
Binomial Graph: A Scalable and Fault-Tolerant Logical Network Topology
The number of processors embedded in high performance computing platforms is growing daily to solve larger and more complex problems. The logical network topologies must also suppo...
Thara Angskun, George Bosilca, Jack Dongarra
CORR
2010
Springer
151views Education» more  CORR 2010»
13 years 6 months ago
Adding a referee to an interconnection network: What can(not) be computed in one round
Abstract—In this paper we ask which properties of a distributed network can be computed from a few amount of local information provided by its nodes. The distributed model we con...
Florent Becker, Martín Matamala, Nicolas Ni...
WEA
2007
Springer
104views Algorithms» more  WEA 2007»
14 years 1 months ago
Dynamic Trees in Practice
Dynamic tree data structures maintain forests that change over time through edge insertions and deletions. Besides maintaining connectivity information in logarithmic time, they ca...
Robert Endre Tarjan, Renato Fonseca F. Werneck
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 7 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic