Single Polygon Counting on Cayley Tree of Order 3
We showed that one form of generalized Catalan numbers is the solution to the problem of finding different connected component with finite vertices containing a fixed root for the semi-infinite Cayley tree of order 3. We give the formula for the full graph, Cayley tree of order 3 which is derived fr...
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| Online Access: | http://irep.iium.edu.my/293/1/Single_polygon_counting_on_cayley_tree_of_order_3_%281%29.pdf http://irep.iium.edu.my/293/ http://dx.doi.org/10.1007/s10955-010-9989-5 |
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my.iium.irep.2932011-07-11T08:02:01Z http://irep.iium.edu.my/293/ Single Polygon Counting on Cayley Tree of Order 3 Pah, Chin Hee QA Mathematics We showed that one form of generalized Catalan numbers is the solution to the problem of finding different connected component with finite vertices containing a fixed root for the semi-infinite Cayley tree of order 3. We give the formula for the full graph, Cayley tree of order 3 which is derived from the generalized Catalan numbers. Using ratios of Gamma functions, two upper bounds are given for problem defined on semi-infinite Cayley tree of order 3 as well as the full graph. Springer 2010 Article REM application/pdf en http://irep.iium.edu.my/293/1/Single_polygon_counting_on_cayley_tree_of_order_3_%281%29.pdf Pah, Chin Hee (2010) Single Polygon Counting on Cayley Tree of Order 3. Journal of Statistical Physics, 140 (1). pp. 198-207. ISSN 0022-4715 http://dx.doi.org/10.1007/s10955-010-9989-5 10.1007/s10955-010-9989-5 |
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QA Mathematics Pah, Chin Hee Single Polygon Counting on Cayley Tree of Order 3 |
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We showed that one form of generalized Catalan numbers is the solution to the problem of finding different connected component with finite vertices containing a fixed root for the semi-infinite Cayley tree of order 3. We give the formula for the full graph, Cayley tree of order 3 which is derived from the generalized Catalan numbers. Using ratios of Gamma functions, two upper bounds are given for problem defined on semi-infinite Cayley tree of order 3 as well as the full graph. |
| format |
Article |
| author |
Pah, Chin Hee |
| author_facet |
Pah, Chin Hee |
| author_sort |
Pah, Chin Hee |
| title |
Single Polygon Counting on Cayley Tree of Order 3 |
| title_short |
Single Polygon Counting on Cayley Tree of Order 3 |
| title_full |
Single Polygon Counting on Cayley Tree of Order 3 |
| title_fullStr |
Single Polygon Counting on Cayley Tree of Order 3 |
| title_full_unstemmed |
Single Polygon Counting on Cayley Tree of Order 3 |
| title_sort |
single polygon counting on cayley tree of order 3 |
| publisher |
Springer |
| publishDate |
2010 |
| url |
http://irep.iium.edu.my/293/1/Single_polygon_counting_on_cayley_tree_of_order_3_%281%29.pdf http://irep.iium.edu.my/293/ http://dx.doi.org/10.1007/s10955-010-9989-5 |
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