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20042013
most citedNo More Pesky Learning Rates

289 citations

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math.CO2012★ 7 cited

Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a q,t-Narayana polynomial

Mark Dukes, Yvan Le Borgne

We classify recurrent configurations of the sandpile model on the complete bipartite graph K_{m,n} in which one designated vertex is a sink. We present a bijection from these recur…

math.CO2012

A multivariate hook formula for labelled trees

Valentin Féray, I. P. Goulden

Several hook summation formulae for binary trees have appeared recently in the literature. In this paper we present an analogous formula for unordered increasing trees of size r, w…