Geodesic
Brown's theorem and its application for enumeration of dissections and planar trees
Evgeniy Krasko1 ; Alexander Omelchenko1
1St.Petersburg Academic University
The electronic journal of combinatorics, Tome 22 (2015) no. 1
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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 $r$-dissections of polygons and planar $S$-dissections are obtained.
DOI : 10.37236/4129
Classification : 05C30, 05A15, 05C10, 05C05
Mots-clés : planar dissections, plane trees, enumeration

Evgeniy Krasko  1   ; Alexander Omelchenko  1

1 St.Petersburg Academic University 
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     title = {Brown's theorem and its application for enumeration of dissections and planar trees},
     journal = {The electronic journal of combinatorics},
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Evgeniy Krasko; Alexander Omelchenko. Brown's theorem and its application for enumeration of dissections and planar trees. The electronic journal of combinatorics, Tome 22 (2015) no. 1. doi: 10.37236/4129

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