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» The metamathematics of random graphs
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ECCC
2000
113views more  ECCC 2000»
15 years 1 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»
15 years 3 days 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 8 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
16 years 2 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 7 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