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» Graph embedding using tree edit-union
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TON
2008
126views more  TON 2008»
13 years 5 months ago
Hyperbolic embedding of internet graph for distance estimation and overlay construction
Estimating distances in the Internet has been studied in the recent years due to its ability to improve the performance of many applications, e.g., in the peer-topeer realm. One sc...
Yuval Shavitt, Tomer Tankel
RSA
2011
126views more  RSA 2011»
13 years 21 days ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 6 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
JCT
2006
77views more  JCT 2006»
13 years 5 months ago
There are uncountably many topological types of locally finite trees
Consider two locally finite rooted trees as equivalent if each of them is a topological minor of the other, with an embedding preserving the tree-order. Answering a question of va...
Lilian Matthiesen
SENSYS
2003
ACM
13 years 11 months ago
GEM: graph eMbedding for routing and data-centric storage in sensor networks without geographic information
The widespread deployment of sensor networks is on the horizon. One of the main challenges in sensor networks is to process and aggregate data in the network rather than wasting e...
James Newsome, Dawn Xiaodong Song