Enumeration of One Class of Plane Weighted Trees
Gespeichert in:
Verfasser / Beitragende:
[Yu. Kochetkov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/2(2015-08-01), 282-291
Format:
Artikel (online)
Online Zugang:
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| 100 | 1 | |a Kochetkov |D Yu |u Higher School of Economics, Moscow, Russia |4 aut | |
| 245 | 1 | 0 | |a Enumeration of One Class of Plane Weighted Trees |h [Elektronische Daten] |c [Yu. Kochetkov] |
| 520 | 3 | |a We present an enumeration formula for weighted trees, i.e., trees where vertices and edges have weights (a weight is a positive integer) and the weight of each vertex is equal to the sum of the weights of the edges incident to it. Each tree has a binary structure: we can color its vertices in two colors, black and white, so that adjacent vertices have different colors. In this work, the following problem is considered: enumerate weighted plane trees with given sets of weights of black and white vertices. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
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| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/2(2015-08-01), 282-291 |x 1072-3374 |q 209:2<282 |1 2015 |2 209 |o 10958 | ||