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JOURNALS // Prikladnaya Diskretnaya Matematika // Archive

Prikl. Diskr. Mat., 2012 Number 3(17), Pages 103–107 (Mi pdm383)

This article is cited in 1 paper

Applied Graph Theory

Connectivity of the planar graph with highly reliable edges

G. Sh. Tsitsiashvili, A. S. Losev

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia

Abstract: In this paper, an algorithm based on the concept of dual graphs is constructed for calculation of incoherence probability for planar graphs with the high reliable edges. Numerical experiments show that, in a comparison with the Monte-Carlo method, this algorithm decreases calculation complexity significantly.

Keywords: connectivity probability, dual graph, minimal cross section.

UDC: 519.248,519.176



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