S. Carrell

activity

20092016

most citedThe Non-Orientable Map Asymptotics Constant

p_{g}

10 citations · 16 across the 6 of their papers we have counts for

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Showing 2014 · math.COShow all

3 papers · 2 filters

math.CO2014

Hook Weighted Increasing Trees, Cayley Trees and Abel-Hurwitz Identities

S. R. Carrell

Recently Féray, Goulden and Lascoux gave a proof of a new hook summation formula for unordered increasing trees by means of a generalization of the Prüfer code for labelled trees a…

math.CO2014★ 10 cited

The Non-Orientable Map Asymptotics Constant $p_{g}$

S. R. Carrell

Using the pfaffian structure of the generating series for locally orientable maps, we show that the generating series satsifies a nonlinear differential equation called the BKP equ…

math.CO2014★ 5 cited

Simple recurrence formulas to count maps on orientable surfaces

Sean R. Carrell, Guillaume Chapuy

We establish a simple recurrence formula for the number $Q_{g}^{n}$ of rooted orientable maps counted by edges and genus. We also give a weighted variant for the generating polynomial…

Hook Weighted Increasing Trees, Cayley Trees and Abel-Hurwitz Identities

The Non-Orientable Map Asymptotics Constant pg​

Simple recurrence formulas to count maps on orientable surfaces

The Non-Orientable Map Asymptotics Constant $p_{g}$