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» The metamathematics of random graphs
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ECCC
2000
113views more  ECCC 2000»
14 years 9 months ago
Candidate One-Way Functions Based on Expander Graphs
Abstract. We suggest a candidate one-way function using combinatorial constructs such as expander graphs. These graphs are used to determine a sequence of small overlapping subsets...
Oded Goldreich
JGT
2010
81views more  JGT 2010»
14 years 8 months ago
Cycles and paths in edge-colored graphs with given degrees
Sufficient degree conditions for the existence of properly edge-colored cycles and paths in edge-colored graphs, multigraphs and random graphs are inverstigated. In particular, we...
A. Abouelaoualim, Kinkar Chandra Das, Wenceslas Fe...
CORR
2011
Springer
188views Education» more  CORR 2011»
14 years 4 months ago
Planar Cycle Covering Graphs
We describe a new variational lower-bound on the minimum energy configuration of a planar binary Markov Random Field (MRF). Our method is based on adding auxiliary nodes to every...
Julian Yarkony, Alexander T. Ihler, Charless C. Fo...
ICML
2006
IEEE
15 years 10 months ago
Graph model selection using maximum likelihood
In recent years, there has been a proliferation of theoretical graph models, e.g., preferential attachment and small-world models, motivated by real-world graphs such as the Inter...
Adam Kalai, Ivona Bezáková, Rahul Sa...
ESA
2004
Springer
120views Algorithms» more  ESA 2004»
15 years 3 months ago
Maximum Matchings in Planar Graphs via Gaussian Elimination
We present a randomized algorithm for finding maximum matchings in planar graphs in time O(nω/2 ), where ω is the exponent of the best known matrix multiplication algorithm. Sin...
Marcin Mucha, Piotr Sankowski