Sandpile groups and the coeulerian property for random directed graphs

preprint2016arXivOpen access

Abstract

We consider random directed graphs, and calculate the distribution of the cokernels of their laplacian, following the methods used by Wood. As a corollary, we show that the probability that a random digraph is coeulerian is asymptotically upper bounded by a constant around 0.430.43.

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