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» Randomly Coloring Constant Degree Graphs
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COMBINATORICA
2010
13 years 6 months ago
A randomized embedding algorithm for trees
In this paper, we propose a simple and natural randomized algorithm to embed a tree T in a given graph G. The algorithm can be viewed as a "self-avoiding tree-indexed random ...
Benny Sudakov, Jan Vondrák
SIAMDM
2010
110views more  SIAMDM 2010»
13 years 3 months ago
Embedding Spanning Trees in Random Graphs
We prove that if T is a tree on n vertices with maximum degree and the edge probability p(n) satisfies: np C max{ log n, n } for some constant > 0, then with high probability...
Michael Krivelevich
COMBINATORICA
2007
117views more  COMBINATORICA 2007»
13 years 8 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
TMC
2011
131views more  TMC 2011»
13 years 3 months ago
In-Network Computation in Random Wireless Networks: A PAC Approach to Constant Refresh Rates with Lower Energy Costs
—We propose a method to compute a probably approximately correct (PAC) normalized histogram of observations with a refresh rate of Âð1Þ time units per histogram sample on a ra...
Srikanth K. Iyer, D. Manjunath, R. Sundaresan
PODC
2010
ACM
14 years 13 days ago
A new technique for distributed symmetry breaking
We introduce Multi-Trials, a new technique for symmetry breaking for distributed algorithms and apply it to various problems in general graphs. For instance, we present three rand...
Johannes Schneider, Roger Wattenhofer