Testability of minimum balanced multiway cut densities

Mathematics – Probability

Scientific paper

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24 pages, short version was a contributed paper of the conference: Fete of Combinatorics and Computer Science, Keszthely, Hung

Scientific paper

Testable weighted graph parameters and equivalent notions of testability are investigated based on papers of Laszlo Lovasz and coauthors. We prove that certain balanced minimum multiway cut densities are testable. Using this fact, quadratic programming techniques are applied to approximate some of these quantities. The problem is related to cluster analysis and statistical physics. Convergence of special noisy graph sequences is also discussed.

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