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Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method

For any given semigroup presentation we may obtain the fundamental group. In this paper we will determine spanning trees for the 2-complexes of the fundamental groups obtained from the union of two semigroup presentations with finite different initial generators using lifting method. The spanning tr...

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Main Authors: Gheisari, Yousof, Ahmad, Abd Ghafur, Chaharborj, S. Seddigh, Sapar, Siti Hasana, Mohd Atan, Kamel Ariffin
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2012
Online Access:http://psasir.upm.edu.my/id/eprint/38927/1/38927.pdf
http://psasir.upm.edu.my/id/eprint/38927/
http://einspem.upm.edu.my/journal/fullpaper/vol6no2/6.%20Yousof%20Gheisariedited.pdf
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spelling my.upm.eprints.389272015-09-04T13:14:35Z http://psasir.upm.edu.my/id/eprint/38927/ Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method Gheisari, Yousof Ahmad, Abd Ghafur Chaharborj, S. Seddigh Sapar, Siti Hasana Mohd Atan, Kamel Ariffin For any given semigroup presentation we may obtain the fundamental group. In this paper we will determine spanning trees for the 2-complexes of the fundamental groups obtained from the union of two semigroup presentations with finite different initial generators using lifting method. The spanning trees will be systematically selected by using lifting method according to the length of words. Also the general formula for all lifts of spanning trees and the number of edges in the spanning trees will be computed. Institute for Mathematical Research, Universiti Putra Malaysia 2012-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38927/1/38927.pdf Gheisari, Yousof and Ahmad, Abd Ghafur and Chaharborj, S. Seddigh and Sapar, Siti Hasana and Mohd Atan, Kamel Ariffin (2012) Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method. Malaysian Journal of Mathematical Sciences, 6 (2). pp. 213-223. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol6no2/6.%20Yousof%20Gheisariedited.pdf
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description For any given semigroup presentation we may obtain the fundamental group. In this paper we will determine spanning trees for the 2-complexes of the fundamental groups obtained from the union of two semigroup presentations with finite different initial generators using lifting method. The spanning trees will be systematically selected by using lifting method according to the length of words. Also the general formula for all lifts of spanning trees and the number of edges in the spanning trees will be computed.
format Article
author Gheisari, Yousof
Ahmad, Abd Ghafur
Chaharborj, S. Seddigh
Sapar, Siti Hasana
Mohd Atan, Kamel Ariffin
spellingShingle Gheisari, Yousof
Ahmad, Abd Ghafur
Chaharborj, S. Seddigh
Sapar, Siti Hasana
Mohd Atan, Kamel Ariffin
Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method
author_facet Gheisari, Yousof
Ahmad, Abd Ghafur
Chaharborj, S. Seddigh
Sapar, Siti Hasana
Mohd Atan, Kamel Ariffin
author_sort Gheisari, Yousof
title Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method
title_short Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method
title_full Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method
title_fullStr Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method
title_full_unstemmed Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method
title_sort spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/38927/1/38927.pdf
http://psasir.upm.edu.my/id/eprint/38927/
http://einspem.upm.edu.my/journal/fullpaper/vol6no2/6.%20Yousof%20Gheisariedited.pdf
_version_ 1643832275358449664
score 13.160551

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