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RSA
2010
89views more  RSA 2010»
15 years 4 months ago
A system of grabbing particles related to Galton-Watson trees
We consider a system of particles with arms that are activated randomly to grab other particles as a toy model for polymerization. We assume that the following two rules are ful...
Jean Bertoin, Vladas Sidoravicius, Maria Eulalia V...
COMBINATORICS
2007
77views more  COMBINATORICS 2007»
15 years 6 months ago
Enumeration and Asymptotic Properties of Unlabeled Outerplanar Graphs
We determine the exact and asymptotic number of unlabeled outerplanar graphs. The exact number gn of unlabeled outerplanar graphs on n vertices can be computed in polynomial time,...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 9 months 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...
EUROCRYPT
1999
Springer
15 years 10 months ago
Lower Bounds for Oblivious Transfer Reductions
We prove the first general and non-trivial lower bound for the number of times a 1-out-of-n Oblivious Transfer of strings of length should be invoked so as to obtain, by an inform...
Yevgeniy Dodis, Silvio Micali
FOCS
1998
IEEE
15 years 10 months ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
Daniele Micciancio