Geodesic
Combinatorics on bounded free Motzkin paths and its applications
Hyunsoo Cho1 ; JiSun Huh2 ; Hayan Nam3 ; Jaebum Sohn4
1Ewha Womans University
2Ajou University
3Duksung Women's University
4jsohn@yonsei.ac.kr
The electronic journal of combinatorics, Tome 30 (2023) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

In this paper, we construct a bijection from a set of bounded free Motzkin paths to a set of bounded Motzkin prefixes that induces a bijection from a set of bounded free Dyck paths to a set of bounded Dyck prefixes. We also give bijections between a set of bounded cornerless Motzkin paths and a set of $t$-core partitions, and a set of bounded cornerless symmetric Motzkin paths and a set of self-conjugate $t$-core partitions. As an application, we get explicit formulas for the number of ordinary and self-conjugate $t$ core partitions with a fixed number of corners.
DOI : 10.37236/11375
Classification : 05A19, 05A17, 05A15
Mots-clés : bounded free Dyck paths, bounded Motzkin prefixes

Hyunsoo Cho  1   ; JiSun Huh  2   ; Hayan Nam  3   ; Jaebum Sohn  4

1 Ewha Womans University
2 Ajou University
3 Duksung Women's University
4 jsohn@yonsei.ac.kr 
@article{10_37236_11375,
     author = {Hyunsoo Cho and JiSun Huh and Hayan Nam and Jaebum Sohn},
     title = {Combinatorics on bounded free {Motzkin} paths and its applications},
     journal = {The electronic journal of combinatorics},
     year = {2023},
     volume = {30},
     number = {1},
     doi = {10.37236/11375},
     zbl = {1511.05015},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/11375/}
}
TY  - JOUR
AU  - Hyunsoo Cho
AU  - JiSun Huh
AU  - Hayan Nam
AU  - Jaebum Sohn
TI  - Combinatorics on bounded free Motzkin paths and its applications
JO  - The electronic journal of combinatorics
PY  - 2023
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/11375/
DO  - 10.37236/11375
ID  - 10_37236_11375
ER  - 
%0 Journal Article
%A Hyunsoo Cho
%A JiSun Huh
%A Hayan Nam
%A Jaebum Sohn
%T Combinatorics on bounded free Motzkin paths and its applications
%J The electronic journal of combinatorics
%D 2023
%V 30
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/11375/
%R 10.37236/11375
%F 10_37236_11375
Hyunsoo Cho; JiSun Huh; Hayan Nam; Jaebum Sohn. Combinatorics on bounded free Motzkin paths and its applications. The electronic journal of combinatorics, Tome 30 (2023) no. 1. doi: 10.37236/11375

Cité par Sources :