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SPAA
2004
ACM
15 years 9 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
16 years 4 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
SPAA
2009
ACM
16 years 4 months ago
On randomized representations of graphs using short labels
Informative labeling schemes consist in labeling the nodes of graphs so that queries regarding any two nodes (e.g., are the two nodes adjacent?) can be answered by inspecting mere...
Pierre Fraigniaud, Amos Korman
FOCS
2008
IEEE
15 years 10 months ago
Nearly Tight Low Stretch Spanning Trees
We prove that any graph G with n points has a distribution T over spanning trees such that for any edge (u, v) the expected stretch ET ∼T [dT (u, v)/dG(u, v)] is bounded by ˜O(...
Ittai Abraham, Yair Bartal, Ofer Neiman
IPPS
2005
IEEE
15 years 9 months ago
Self-Stabilizing Anonymous Leader Election in a Tree
We propose a new self-stabilizing anonymous leader election algorithm in a tree graph. We show the correctness of the protocol and show that the protocol terminates in O(n4 ) time...
Zhenyu Xu, Pradip K. Srimani