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» A degree bound on decomposable trees
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EJC
2008
14 years 9 months ago
Expansion properties of a random regular graph after random vertex deletions
We investigate the following vertex percolation process. Starting with a random regular graph of constant degree, delete each vertex independently with probability p, where p = n-...
Catherine S. Greenhill, Fred B. Holt, Nicholas C. ...
95
Voted
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 3 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...
CORR
2011
Springer
155views Education» more  CORR 2011»
14 years 4 months ago
Subexponential convergence for information aggregation on regular trees
— We consider the decentralized binary hypothesis testing problem on trees of bounded degree and increasing depth. For a regular tree of depth t and branching factor k ≥ 2, we ...
Yashodhan Kanoria, Andrea Montanari
127
Voted
ICALP
2001
Springer
15 years 2 months ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan
STACS
2005
Springer
15 years 3 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...