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


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: Fundamental group; Semigroup presentation; Generators; Spanning tree
Depositing User: Nabilah Mustapa
Date Deposited: 04 Sep 2015 13:14
Last Modified: 04 Sep 2015 13:14
URI: http://psasir.upm.edu.my/id/eprint/38927
Statistic Details: View Download Statistic

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