An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting
Abstract. In this paper, we consider a problem on finding the number of different single connected component containing a fixed root for a given number of vertices on semi-infinite Cayley tree. The solution of this problem is the well known Catalan numbers. The result is then extended to the complet...
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School of Mathematical Sciences, Universiti Sains Malaysia
2008
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my.iium.irep.2972013-08-27T01:09:57Z http://irep.iium.edu.my/297/ An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting Pah, Chin Hee Q Science (General) QA Mathematics Abstract. In this paper, we consider a problem on finding the number of different single connected component containing a fixed root for a given number of vertices on semi-infinite Cayley tree. The solution of this problem is the well known Catalan numbers. The result is then extended to the complete graph. Then, we gave a suitable estimate for the given problem. School of Mathematical Sciences, Universiti Sains Malaysia 2008 Article REM application/pdf en http://irep.iium.edu.my/297/1/v31n2p7.pdf Pah, Chin Hee (2008) An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting. Bulletin of the Malaysian Mathematical Sciences Society, 31 (2). pp. 175-183. ISSN 0126-6705 http://www.emis.de/journals/BMMSS/pdf/v31n2/v31n2p7.pdf |
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Q Science (General) QA Mathematics Pah, Chin Hee An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting |
description |
Abstract. In this paper, we consider a problem on finding the number of different single connected component containing a fixed root for a given number of vertices on semi-infinite Cayley tree. The solution of this problem is the well known Catalan numbers. The result is then extended to the complete graph. Then, we gave a suitable estimate for the given problem. |
format |
Article |
author |
Pah, Chin Hee |
author_facet |
Pah, Chin Hee |
author_sort |
Pah, Chin Hee |
title |
An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting |
title_short |
An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting |
title_full |
An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting |
title_fullStr |
An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting |
title_full_unstemmed |
An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting |
title_sort |
application of catalan numbers on cayley tree of order 2: single polygon counting |
publisher |
School of Mathematical Sciences, Universiti Sains Malaysia |
publishDate |
2008 |
url |
http://irep.iium.edu.my/297/1/v31n2p7.pdf http://irep.iium.edu.my/297/ http://www.emis.de/journals/BMMSS/pdf/v31n2/v31n2p7.pdf |
_version_ |
1643604592948150272 |
score |
13.149126 |