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Regular version of the site

Article

Brown's theorem and its application for enumeration of dissections and planar trees

Electronic Journal of Combinatorics. 2015. Vol. 22. No. 1. P. 1-17.
Omelchenko A., Краско Е. С.

We present new functional equations connecting the counting series of plane and planar (in the sense of Harary and Palmer) dissections. Simple rigorous expressions for counting symmetric rr-dissections of polygons and planar SS-dissections are obtained.