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
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Online Access: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 my.iium.irep.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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/58086/1/09_41%283%29.pdf
http://irep.iium.edu.my/58086/7/58086_On%20connected%20sub-tree%20with%20fixed%20nodes_wos.pdf
http://irep.iium.edu.my/58086/
http://www.seams-bull-math.ynu.edu.cn/quick_search_result.jsp
_version_ 1643619660227149824
score 13.145442