On the number of self-dual rooted maps

Kitaev, Sergey and de Mier, Anna and Noy, Marc (2014) On the number of self-dual rooted maps. European Journal of Combinatorics, 35. pp. 377-387. ISSN 0195-6698

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Abstract

We compute the number of self-dual rooted maps with nn edges. We also compute the number of 2-connected and 3-connected self-dual rooted maps, and show that the latter are counted by the Fine numbers.