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RSA
2011
126views more  RSA 2011»
14 years 6 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
COMPGEOM
2009
ACM
15 years 6 months ago
On grids in topological graphs
A topological graph is a graph drawn in the plane with vertices represented by points and edges as arcs connecting its vertices. A k-grid in a topological graph is a pair of edge ...
Eyal Ackerman, Jacob Fox, János Pach, Andre...
EJC
2006
14 years 11 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer
STOC
2004
ACM
88views Algorithms» more  STOC 2004»
16 years 3 days ago
Expander flows, geometric embeddings and graph partitioning
We give a O( log n)-approximation algorithm for sparsest cut, edge expansion, balanced separator, and graph conductance problems. This improves the O(log n)-approximation of Leig...
Sanjeev Arora, Satish Rao, Umesh V. Vazirani
RSFDGRC
2005
Springer
134views Data Mining» more  RSFDGRC 2005»
15 years 5 months ago
The Computational Complexity of Inference Using Rough Set Flow Graphs
Pawlak recently introduced rough set flow graphs (RSFGs) as a graphical framework for reasoning from data. Each rule is associated with three coefficients, which have been shown t...
Cory J. Butz, Wen Yan, Boting Yang