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SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 1 days 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...
COMBINATORICA
2007
117views more  COMBINATORICA 2007»
14 years 9 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 8 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 3 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 9 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