What is the probability of connecting two points ?

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dc.creatorTanguy, Christian
dc.date2006-12-28
dc.date2008-07-03
dc.date.accessioned2026-07-07T09:48:06Z
dc.date.available2026-07-07T09:48:06Z
dc.descriptionThe two-terminal reliability, known as the pair connectedness or connectivity function in percolation theory, may actually be expressed as a product of transfer matrices in which the probability of operation of each link and site is exactly taken into account. When link and site probabilities are $p$ and $ρ$, it obeys an asymptotic power-law behavior, for which the scaling factor is the transfer matrix's eigenvalue of largest modulus. The location of the complex zeros of the two-terminal reliability polynomial exhibits structural transitions as $0 \leq ρ\leq 1$.
dc.descriptiona few critical polynomials are at the end of the .tex source file
dc.identifierhttps://arxiv.org/abs/cs/0612142
dc.identifierhttp://arxiv.org/abs/cs/0612142
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) 14099-14116
dc.identifierdoi:10.1088/1751-8113/40/47/005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164088
dc.subjectDiscrete Mathematics
dc.subjectNetworking and Internet Architecture
dc.titleWhat is the probability of connecting two points ?
dc.typetext

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