Results 131 to 140 of about 426,250 (213)

Counting Ascents in Generalized Dyck Paths.

open access: yes, 2018
Non-negative Lukasiewicz paths are special two-dimensional lattice paths never passing below their starting altitude which have only one single special type of down step. They are well-known and -studied combinatorial objects, in particular due to their bijective relation to trees with given node degrees.
Hackl, Benjamin   +2 more
openaire   +3 more sources

Two combinatorial statistics on Dyck paths

open access: yes, 1992
Two combinatorial statistics, the pyramid weight and the number of exterior pairs, are investigated on the set of Dyck paths. Explicit formulae are given for the generating functions of Dyck paths of prescribed pyramid weight and prescribed number of ...
Rodica Simion, Alain Denise
core  

Counting of subwords on restricted Dyck words

open access: yes
ilustraciones, diagramasEste trabajo se centra en el conteo de caminos de Dyck mediante el análisis de sus subpalabras. Para ello, se exploran conceptos como las funciones generatrices y sucesiones como la de Fibonacci, Lucas y Catalan.
Montoya Conde, Luisa María
core  

Anchored Dyck Paths

open access: yes
We answer a question of Simental by providing a combinatorial interpretation of a formula which generalizes rational Catalan numbers and which appears in the study of Springer fibers. We provide an interpretation in terms of binary necklaces as well as anchored Dyck paths.
openaire   +2 more sources

On the dominance partial ordering of Dyck paths

open access: yes, 2006
The lattice of Dyck paths with the dominance partial order is studied. The notions of filling and degree of a Dyck path are introduced, studied and used for the evaluation of the Möbius function and its powers.
A. Sapounakis, P. Tsikouras, I. Tasoulas
core  

Generalizing Matrix Representations to Fully Heterochronous Ranked Tree Shapes. [PDF]

open access: yesBull Math Biol
Jennings-Shaffer C   +3 more
europepmc   +1 more source

Associations between park visitation and physical, mental and social health among older adults. [PDF]

open access: yesBMC Public Health
Rivera E   +7 more
europepmc   +1 more source

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