Treffer: Permutation classes and polyomino classes with excluded submatrices

Title:
Permutation classes and polyomino classes with excluded submatrices
Contributors:
Battaglino, Daniela, Bouvel, Mathilde, Frosini, Andrea, Rinaldi, Simone
Source:
Mathematical Structures in Computer Science
Publication Status:
Preprint
Publisher Information:
Cambridge University Press (CUP), 2015.
Publication Year:
2015
Document Type:
Fachzeitschrift Article<br />Other literature type
File Description:
STAMPA
Language:
English
ISSN:
1469-8072
0960-1295
DOI:
10.1017/s0960129515000250
DOI:
10.48550/arxiv.1402.2260
Rights:
Cambridge Core User Agreement
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....1fcd4525dbff48a224c83758e90a923c
Database:
OpenAIRE

Weitere Informationen

This article introduces an analogue of permutation classes in the context of polyominoes. For both permutation classes and polyomino classes, we present an original way of characterizing them by avoidance constraints (namely, with excluded submatrices) and we discuss how canonical such a description by submatrix-avoidance can be. We provide numerous examples of permutation and polyomino classes which may be defined and studied from the submatrix-avoidance point of view, and conclude with various directions for future research on this topic.