On Column-Convex and Convex Carlitz Polyominoes

Toufik Mansour; Reza Rastegar; Armend Sh Shabani

doi:10.1007/s11786-021-00518-z

On Column-Convex and Convex Carlitz Polyominoes

Toufik Mansour, Reza Rastegar, Armend Sh Shabani

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce and study Carlitz polyominoes. In particular, we show that, as n grows to infinity, asymptotically the number of (1)column-convex Carlitz polyominoes with perimeter 2n is (Formula presented.)(2)convex Carlitz polyominoes with perimeter 2n is (Formula presented.)

Original language	English
Pages (from-to)	889-898
Number of pages	10
Journal	Mathematics in Computer Science
Volume	15
Issue number	4
DOIs	https://doi.org/10.1007/s11786-021-00518-z
State	Published - Dec 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Carlitz polyominoes

ASJC Scopus subject areas

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

Access to Document

10.1007/s11786-021-00518-z

Cite this

@article{7af301a0c9624b49b1fd644f4515bcc8,

title = "On Column-Convex and Convex Carlitz Polyominoes",

abstract = "In this paper, we introduce and study Carlitz polyominoes. In particular, we show that, as n grows to infinity, asymptotically the number of (1)column-convex Carlitz polyominoes with perimeter 2n is (Formula presented.)(2)convex Carlitz polyominoes with perimeter 2n is (Formula presented.)",

keywords = "Carlitz polyominoes",

author = "Toufik Mansour and Reza Rastegar and Shabani, \{Armend Sh\}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2021",

month = dec,

doi = "10.1007/s11786-021-00518-z",

language = "English",

volume = "15",

pages = "889--898",

journal = "Mathematics in Computer Science",

issn = "1661-8270",

publisher = "Birkhauser Verlag Basel",

number = "4",

}

TY - JOUR

T1 - On Column-Convex and Convex Carlitz Polyominoes

AU - Mansour, Toufik

AU - Rastegar, Reza

AU - Shabani, Armend Sh

PY - 2021/12

Y1 - 2021/12

N2 - In this paper, we introduce and study Carlitz polyominoes. In particular, we show that, as n grows to infinity, asymptotically the number of (1)column-convex Carlitz polyominoes with perimeter 2n is (Formula presented.)(2)convex Carlitz polyominoes with perimeter 2n is (Formula presented.)

AB - In this paper, we introduce and study Carlitz polyominoes. In particular, we show that, as n grows to infinity, asymptotically the number of (1)column-convex Carlitz polyominoes with perimeter 2n is (Formula presented.)(2)convex Carlitz polyominoes with perimeter 2n is (Formula presented.)

KW - Carlitz polyominoes

UR - https://www.scopus.com/pages/publications/85114332290

U2 - 10.1007/s11786-021-00518-z

DO - 10.1007/s11786-021-00518-z

M3 - Article

AN - SCOPUS:85114332290

SN - 1661-8270

VL - 15

SP - 889

EP - 898

JO - Mathematics in Computer Science

JF - Mathematics in Computer Science

IS - 4

ER -

On Column-Convex and Convex Carlitz Polyominoes

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this