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Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting

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.Th...

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Main Author: Pah, Chin Hee
Format: Article
Language:English
Published: School of Mathematical Sciences, Universiti Sains Malaysia 2008
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/294/1/An_Application_of_Catalan_Numbers_on_Cayley_%281%29.pdf
http://irep.iium.edu.my/294/
http://www.emis.de/journals/BMMSS/vol31_2_7.htm
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spelling my.iium.irep.2942011-06-09T01:36:20Z http://irep.iium.edu.my/294/ Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting Pah, Chin Hee QA Mathematics 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/294/1/An_Application_of_Catalan_Numbers_on_Cayley_%281%29.pdf Pah, Chin Hee (2008) Application of Catalan Number 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/vol31_2_7.htm
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Pah, Chin Hee
Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting
description 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 Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting
title_short Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting
title_full Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting
title_fullStr Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting
title_full_unstemmed Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting
title_sort application of catalan number 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/294/1/An_Application_of_Catalan_Numbers_on_Cayley_%281%29.pdf
http://irep.iium.edu.my/294/
http://www.emis.de/journals/BMMSS/vol31_2_7.htm
_version_ 1643604592647208960
score 13.211869

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