Result: A bijection for the total area of parallelogram polyominoes
Title:
A bijection for the total area of parallelogram polyominoes
Source:
Fun with algorithms 2 (FUN 2001)Discrete applied mathematics. 144(3):291-302
Publisher Information:
Amsterdam; Lausanne; New York, NY: Elsevier, 2004.
Publication Year:
2004
Physical Description:
print, 13 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Problèmes combinatoires classiques, Classical combinatorial problems, Plans d'expériences et configurations, Designs and configurations, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Combinatoire, Combinatorics, Combinatoria, Informatique théorique, Computer theory, Informática teórica, Monoïde libre, Free monoid, Monoide libre, Optimisation, Optimization, Optimización, Pavage, Tiling, Temps linéaire, Linear time, Tiempo lineal, 05B45, Polyomino parallélogramme, Parallelogram polyomino
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Dipartimento di Matematica, Università di Siena, Pian dei Mantellini 44, 53100, Siena, Italy
LIAFA, Uniuersité Denis Diderot 2, place Jussieu, 75251 Paris, France
Dipartimento di Sistemi e Informatica, Via Lombroso 6/17, 50134 Firenze, Italy
Dipartimento di Matematica, Universita di Siena, Pian dei Mantellini 44, 53100, Siena, Italy
LIAFA, Uniuersité Denis Diderot 2, place Jussieu, 75251 Paris, France
Dipartimento di Sistemi e Informatica, Via Lombroso 6/17, 50134 Firenze, Italy
Dipartimento di Matematica, Universita di Siena, Pian dei Mantellini 44, 53100, Siena, Italy
ISSN:
0166-218X
Rights:
Copyright 2004 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.16264248
Database:
PASCAL Archive
Further Information
The sum of the areas of the parallelogram polyominoes having semi-perimeter n+2 is equal to 4n. In this paper we give a simple proof of this property by means of a mapping from the cells of parallelogram polyominoes having semi-perimeter n + 2 to the 4n words of length n of the free monoid {a,b,c,d}*. This mapping works in linear time. Then, we introduce a tiling game arising from this enumerative property.