| Naslov: | Combinatorial generation via permutation languages : Binary trees |
|---|
| Avtorji: | ID Gregor, Petr (Avtor)
ID Mütze, Torsten (Avtor)
ID Namrata (Avtor) |
|---|
| Datoteke: |  1-s2.0-S0195669824001057-main.pdf (1,39 MB)
MD5: 0104332F3A7E489D7A5E78F8893F538F
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Neznano |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | FIŠ - Fakulteta za informacijske študije v Novem mestu
|
|---|
| Opis: | In this paper we propose a notion of pattern avoidance in binary trees that generalizes the avoidance of contiguous tree patterns studied by Rowland and non-contiguous tree patterns studied by Dairyko, Pudwell, Tyner, and Wynn. Specifically, we propose algorithms for generating different classes of binary trees that are characterized by avoiding one or more of these generalized patterns. This is achieved by applying the recent Hartung–Hoang–Mütze– Williams generation framework, by encoding binary trees via permutations. In particular, we establish a one-to-one correspondence between tree patterns and certain mesh permutation patterns. We also conduct a systematic investigation of all tree patterns on at most 5 vertices, and we establish bijections between pattern-avoiding binary trees and other combinatorial objects, in particular pattern-avoiding lattice paths and set partitions. |
|---|
| Ključne besede: | pattern avoidance, binary trees, mesh permutation patterns, combinatorial generation, algorithmic combinatorics |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Poslano v recenzijo: | 23.10.2023 |
|---|
| Datum sprejetja članka: | 12.06.2024 |
|---|
| Datum objave: | 18.07.2024 |
|---|
| Leto izida: | 2024 |
|---|
| Št. strani: | str. 1-41 |
|---|
| Številčenje: | Vol. 122 |
|---|
| PID: | 20.500.12556/ReVIS-11888  |
|---|
| UDK: | 519.17 |
|---|
| ISSN pri članku: | 0195-6698 |
|---|
| COBISS.SI-ID: | 241055235 |
|---|
| DOI: | 10.1016/j.ejc.2024.104020 |
|---|
| Datum objave v ReVIS: | 02.07.2025 |
|---|
| Število ogledov: | 27 |
|---|
| Število prenosov: | 0 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
