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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| Format: | Article |
| Language: | English |
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School of Mathematical Sciences, Universiti Sains Malaysia
2008
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| Online Access: | http://irep.iium.edu.my/297/1/v31n2p7.pdf |
| _version_ | 1825644044775063552 |
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| author | Pah, Chin Hee |
| author_facet | Pah, Chin Hee |
| author_sort | Pah, Chin Hee |
| collection | IIUM |
| 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. |
| first_indexed | 2024-03-05T22:27:32Z |
| format | Article |
| id | oai:generic.eprints.org:297 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:27:32Z |
| publishDate | 2008 |
| publisher | School of Mathematical Sciences, Universiti Sains Malaysia |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 PeerReviewed 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 |
| spellingShingle | Q Science (General) QA Mathematics Pah, Chin Hee An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting |
| title | 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_short | 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 |
| topic | Q Science (General) QA Mathematics |
| url | http://irep.iium.edu.my/297/1/v31n2p7.pdf |
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