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» Expansion Properties Of Levi Graphs
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WAW
2010
Springer
312views Algorithms» more  WAW 2010»
14 years 7 months ago
The Geometric Protean Model for On-Line Social Networks
We introduce a new geometric, rank-based model for the link structure of on-line social networks (OSNs). In the geo-protean (GEO-P) model for OSNs nodes are identified with points ...
Anthony Bonato, Jeannette Janssen, Pawel Pralat
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
12 years 12 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...
SIAMCOMP
2000
118views more  SIAMCOMP 2000»
14 years 9 months ago
Constructive, Deterministic Implementation of Shared Memory on Meshes
This paper describes a scheme to implement a shared address space of size m on an n-node mesh, with m polynomial in n, where each mesh node hosts a processor and a memory module. A...
Andrea Pietracaprina, Geppino Pucci, Jop F. Sibeyn
SAC
2010
ACM
15 years 4 months ago
Spanders: distributed spanning expanders
We consider self-stabilizing and self-organizing distributed construction of a spanner that forms an expander. The following results are presented. • A randomized technique to r...
Shlomi Dolev, Nir Tzachar
FOCS
2003
IEEE
15 years 2 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis