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Limit theorems for maximum flows on a lattice

157   0   0.0 ( 0 )
 Added by Yu Zhang
 Publication date 2016
  fields
and research's language is English
 Authors Yu Zhang




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We independently assign a non-negative value, as a capacity for the quantity of flows per unit time, with a distribution F to each edge on the Z^d lattice. We consider the maximum flows through the edges of two disjoint sets, that is from a source to a sink, in a large cube. In this paper, we show that the ratio of the maximum flow and the size of source is asymptotic to a constant. This constant is denoted by the flow constant.



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