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
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Official URL: http://www.emis.de/journals/BMMSS/vol31_2_7.htm
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) |
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Additional Information: | 5826/2008/1 |
Uncontrolled Keywords: | Cayley tree, phase transition, contour method, Catalan numbers |
Subjects: | 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: | 02 Jun 2011 17:05 |
Last Modified: | 09 Jun 2011 09:36 |
URI: | http://irep.iium.edu.my/id/eprint/294 |
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- Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting. (deposited 02 Jun 2011 17:05) [Currently Displayed]
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