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A simple graph G is said to be a Cycle-Stochastic (CS) graph, if there is a non-negative real-valued function p on the edge set of G such tht for every cycle C of G, p(C) := Σp(e) is equal to 1, where the sum is taken over all the edges e of C. In this paper we characterise the finite cycle stochastic graphs by means of 5 minor forbidden subgraphs. It is also shown that a finite graph G is a cycle...
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