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- W4307597029 abstract "We determine the asymptotic distribution of the p-rank of the sandpile groups of random bipartite graphs. We see that this depends on the ratio between the number of vertices on each side, with a threshold when the ratio between the sides is equal to 1/p. We follow the approach of Melanie Wood and consider random graphs as a special case of random matrices, and rely on a variant the definition of min-entropy given by Maples, in order to obtain useful results about these random matrices. Our results show that unlike the sandpile groups of Erdos-Renyi random graphs, the distribution of the sandpile groups of random bipartite graphs depends on the properties of the graph, rather than coming from some more general random group model." @default.
- W4307597029 created "2022-11-03" @default.
- W4307597029 creator A5089319672 @default.
- W4307597029 date "2017-05-21" @default.
- W4307597029 modified "2023-09-25" @default.
- W4307597029 title "Sandpile Groups of Random Bipartite Graphs" @default.
- W4307597029 doi "https://doi.org/10.48550/arxiv.1705.07519" @default.
- W4307597029 hasPublicationYear "2017" @default.
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