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» Almost random graphs with simple hash functions
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SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 2 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
96
Voted
COMBINATORICA
2007
117views more  COMBINATORICA 2007»
14 years 11 months ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov
MICS
2010
134views more  MICS 2010»
14 years 10 months ago
Scale Free Properties of Random k-Trees
Scale free graphs have attracted attention as their non-uniform structure that can be used as a model for many social networks including the WWW and the Internet. In this paper, w...
Colin Cooper, Ryuhei Uehara
ICNP
2005
IEEE
15 years 5 months ago
On Static and Dynamic Partitioning Behavior of Large-Scale Networks
In this paper, we analyze the problem of network disconnection in the context of large-scale P2P networks and understand how both static and dynamic patterns of node failure affec...
Derek Leonard, Zhongmei Yao, Xiaoming Wang, Dmitri...
PAMI
2007
176views more  PAMI 2007»
14 years 11 months ago
Approximate Labeling via Graph Cuts Based on Linear Programming
A new framework is presented for both understanding and developing graph-cut based combinatorial algorithms suitable for the approximate optimization of a very wide class of MRFs ...
Nikos Komodakis, Georgios Tziritas