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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