On connected sub-tree with fixed nodes in Cayley tree of Order 2
In this paper we found an exact formula for a finite sub-tree counting problem. Note that the formulas, which correspond to two extremal cases, are Catalan Triangle introduced by Shapiro and ballot Catalan triangles. The general formula could be expressed as a linear combination of these Catalan tri...
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Southeast Asian Mathematical Society
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iium-580862019-08-22T07:37:23Z http://irep.iium.edu.my/58086/ On connected sub-tree with fixed nodes in Cayley tree of Order 2 Mukhamedov, Farrukh Pah, Chin Hee Saburov, Mansoor QA Mathematics In this paper we found an exact formula for a finite sub-tree counting problem. Note that the formulas, which correspond to two extremal cases, are Catalan Triangle introduced by Shapiro and ballot Catalan triangles. The general formula could be expressed as a linear combination of these Catalan triangles. Southeast Asian Mathematical Society 2017-08 Article PeerReviewed application/pdf en http://irep.iium.edu.my/58086/1/09_41%283%29.pdf application/pdf en http://irep.iium.edu.my/58086/7/58086_On%20connected%20sub-tree%20with%20fixed%20nodes_wos.pdf Mukhamedov, Farrukh and Pah, Chin Hee and Saburov, Mansoor (2017) On connected sub-tree with fixed nodes in Cayley tree of Order 2. Southeast Asian Bulletin of Mathematics, 41 (3). pp. 431-456. ISSN 0129-2021 http://www.seams-bull-math.ynu.edu.cn/quick_search_result.jsp |
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QA Mathematics Mukhamedov, Farrukh Pah, Chin Hee Saburov, Mansoor On connected sub-tree with fixed nodes in Cayley tree of Order 2 |
description |
In this paper we found an exact formula for a finite sub-tree counting problem. Note that the formulas, which correspond to two extremal cases, are Catalan Triangle introduced by Shapiro and ballot Catalan triangles. The general formula could be expressed as a linear combination of these Catalan triangles. |
format |
Article |
author |
Mukhamedov, Farrukh Pah, Chin Hee Saburov, Mansoor |
author_facet |
Mukhamedov, Farrukh Pah, Chin Hee Saburov, Mansoor |
author_sort |
Mukhamedov, Farrukh |
title |
On connected sub-tree with fixed nodes in Cayley tree of Order 2 |
title_short |
On connected sub-tree with fixed nodes in Cayley tree of Order 2 |
title_full |
On connected sub-tree with fixed nodes in Cayley tree of Order 2 |
title_fullStr |
On connected sub-tree with fixed nodes in Cayley tree of Order 2 |
title_full_unstemmed |
On connected sub-tree with fixed nodes in Cayley tree of Order 2 |
title_sort |
on connected sub-tree with fixed nodes in cayley tree of order 2 |
publisher |
Southeast Asian Mathematical Society |
publishDate |
2017 |
url |
http://irep.iium.edu.my/58086/ http://irep.iium.edu.my/58086/ http://irep.iium.edu.my/58086/1/09_41%283%29.pdf http://irep.iium.edu.my/58086/7/58086_On%20connected%20sub-tree%20with%20fixed%20nodes_wos.pdf |
first_indexed |
2023-09-18T21:22:07Z |
last_indexed |
2023-09-18T21:22:07Z |
_version_ |
1777411951148662784 |