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On the intersection of pairs of trees

Bona, Miklos et al.
arXiv (All) · Papers
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05a15combinatoricsprobability
We consider the number of common edges in two independent random spanning trees of a graph $G$. For complete graphs $K_n$, we give a new proof of the fact, originally obtained by Moon, that the distribution converges to a Poisson distribution with expected value $2$. This is applied to show a Poisso
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