An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	5826/297
Uncontrolled Keywords:	Cayley tree, phase transition, contour method, Catalan numbers
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science
Depositing User:	DR. CHIN HEE PAH
Date Deposited:	09 Jun 2011 09:36
Last Modified:	27 Aug 2013 09:09
URI:	http://irep.iium.edu.my/id/eprint/297

Available Versions of this Item

• Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting. (deposited 02 Jun 2011 17:05)
  • An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting. (deposited 09 Jun 2011 09:36) [Currently Displayed]

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