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171
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SPAA
2005
ACM
15 years 10 months ago
Peer-to-peer networks based on random transformations of connected regular undirected graphs
We present k-Flipper, a graph transformation algorithm that transforms regular undirected graphs. Given a path of k +2 edges it interchanges the end vertices of the path. By defin...
Peter Mahlmann, Christian Schindelhauer
147
Voted
SPAA
2005
ACM
15 years 10 months ago
The expansion and mixing time of skip graphs with applications
We prove that with high probability a skip graph contains a 4-regular expander as a subgraph, and estimate the quality of the expansion via simulations. As a consequence skip grap...
James Aspnes, Udi Wieder
146
Voted
SPAA
2005
ACM
15 years 10 months ago
Name independent routing for growth bounded networks
A weighted undirected network is ∆ growth-bounded if the number of nodes at distance 2r around any given node is at most ∆ times the number of nodes at distance r around the n...
Ittai Abraham, Dahlia Malkhi
144
Voted
SPAA
2005
ACM
15 years 10 months ago
Parallelizing time with polynomial circuits
We study the problem of asymptotically reducing the runtime of serial computations with circuits of polynomial size. We give an algorithmic size-depth tradeoff for parallelizing ...
Ryan Williams
SPAA
2005
ACM
15 years 10 months ago
Oblivious routing on geometric networks
We study oblivious routing in which the packet paths are constructed independently of each other. We give a simple oblivious routing algorithm for geometric networks in which the ...
Costas Busch, Malik Magdon-Ismail, Jing Xi