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Article . 2001
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Discrete Mathematics & Theoretical Computer Science
Article . 2001 . Peer-reviewed
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Discrete Mathematics & Theoretical Computer Science
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Discrete Mathematics & Theoretical Computer Science
Article . 2001
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A Bijection for Directed-Convex Polyominoes

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2001 Italy English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Discrete Mathematics & Theoretical Computer Science, volume DMTCS Proceedings vol. AA,... (eissn: 1365-8050, Copyright policy )
Authors: PINZANI, RENZO; A. DEL LUNGO; S. RINALDI; M. MIROLLI;

doi: 10.46298/dmtcs.2298

handle: 2158/10717

A Bijection for Directed-Convex Polyominoes

Abstract

In this paper we consider two classes of lattice paths on the plane which use \textitnorth, \textiteast, \textitsouth,and \textitwest unitary steps, beginningand ending at (0,0).We enumerate them according to the number ofsteps by means of bijective arguments; in particular, we apply the cycle lemma.Then, using these results, we provide a bijective proof for the number of directed-convex polyominoes having a fixed number of rows and columns.

Country
Italy
Related Organizations
Keywords

cycle lemma, [info] computer science [cs], [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], binomial coefficients, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], directed-convex polyominoes, [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG], lattice paths, [info.info-cg] computer science [cs]/computational geometry [cs.cg], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], QA1-939, [INFO]Computer Science [cs], Mathematics, [math.math-co] mathematics [math]/combinatorics [math.co]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
Published in a Diamond OA journal