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CPC
2008
51views more  CPC 2008»
13 years 7 months ago
Winning Fast in Sparse Graph Construction Games
A Graph Construction Game is a Maker-Breaker game. Maker and Breaker take turns in choosing previously unoccupied edges of the complete graph KN . Maker's aim is to claim a c...
Ohad N. Feldheim, Michael Krivelevich
CORR
2010
Springer
176views Education» more  CORR 2010»
13 years 7 months ago
A General Framework for Graph Sparsification
Given a weighted graph G and an error parameter > 0, the graph sparsification problem requires sampling edges in G and giving the sampled edges appropriate weights to obtain a...
Ramesh Hariharan, Debmalya Panigrahi
JCT
2006
69views more  JCT 2006»
13 years 7 months ago
Short paths in quasi-random triple systems with sparse underlying graphs
The Frankl-R
Joanna Polcyn, Vojtech Rödl, Andrzej Rucinski...
JUCS
2007
105views more  JUCS 2007»
13 years 7 months ago
Graded Sparse Graphs and Matroids
: Sparse graphs and their associated matroids play an important role in rigidity theory, where they capture the combinatorics of some families of generic minimally rigid structures...
Audrey Lee, Ileana Streinu, Louis Theran
RSA
2011
126views more  RSA 2011»
13 years 2 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 ...