# Plane trivalent trees and their patterns

Open Mathematics (2010)

- Volume: 8, Issue: 6, page 1041-1047
- ISSN: 2391-5455

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topCharles Delorme. "Plane trivalent trees and their patterns." Open Mathematics 8.6 (2010): 1041-1047. <http://eudml.org/doc/269686>.

@article{CharlesDelorme2010,

abstract = {The aim of this paper is to characterize the patterns of successive distances of leaves in plane trivalent trees, and give a very short characterization of their parity pattern. Besides, we count how many trees satisfy some given sequences of patterns.},

author = {Charles Delorme},

journal = {Open Mathematics},

keywords = {Plane trees; Counting; plane trees; counting},

language = {eng},

number = {6},

pages = {1041-1047},

title = {Plane trivalent trees and their patterns},

url = {http://eudml.org/doc/269686},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Charles Delorme

TI - Plane trivalent trees and their patterns

JO - Open Mathematics

PY - 2010

VL - 8

IS - 6

SP - 1041

EP - 1047

AB - The aim of this paper is to characterize the patterns of successive distances of leaves in plane trivalent trees, and give a very short characterization of their parity pattern. Besides, we count how many trees satisfy some given sequences of patterns.

LA - eng

KW - Plane trees; Counting; plane trees; counting

UR - http://eudml.org/doc/269686

ER -

## References

top- [1] Comtet L., Advanced Combinatorics, D. Reidel, Dordrecht-Boston, 1974
- [2] Flajolet P., Sedgewick R., Analytic Combinatorics, Cambridge University Press, Cambridge, 2009
- [3] Jonsson J., Propp J., Problem 11298, Amer. Math. Monthly, 2007, 114(6), 547
- [4] Sloane N.J.A., On-line Encyclopedia of Integer Sequences, http://www.research.att.com/∼njas/sequences/index.html Zbl1274.11001
- [5] Stanley R.P., Enumerative Combinatorics, vol. 2, Cambridge Stud. Adv. Math., 62, Cambridge University Press, Cambridge, 1997

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