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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Main Authors: Mukhamedov, Farrukh, Pah, Chin Hee, Saburov, Mansoor
Format: Article
Language:English
English
Published: Southeast Asian Mathematical Society 2017
Subjects:
Online Access: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
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spelling 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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic QA Mathematics
spellingShingle 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
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