### Abstract

Given any semigroup presentation, we may obtain the diagram group. The purpose of this paper is to determine the graphs ILambda; _{r} (P), (n ∈ N), which are obtained from diagram group for the union of two semigroup presentations of integers with s and t different initial generators. The number of vertices and edges in these graphs will be computed.

Original language | English |
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Pages (from-to) | 129-131 |

Number of pages | 3 |

Journal | Sains Malaysiana |

Volume | 41 |

Issue number | 1 |

Publication status | Published - Jan 2012 |

### Fingerprint

### Keywords

- Diagram groups
- Generators
- Initial generators
- Relation
- Semigroup presentation

### ASJC Scopus subject areas

- General

### Cite this

*Sains Malaysiana*,

*41*(1), 129-131.

**Components in graphs of diagram groups over the union of two semigroup presentations of integers.** / Gheisari, Yousof; Ahmad, Abd. Ghafur.

Research output: Contribution to journal › Article

*Sains Malaysiana*, vol. 41, no. 1, pp. 129-131.

}

TY - JOUR

T1 - Components in graphs of diagram groups over the union of two semigroup presentations of integers

AU - Gheisari, Yousof

AU - Ahmad, Abd. Ghafur

PY - 2012/1

Y1 - 2012/1

N2 - Given any semigroup presentation, we may obtain the diagram group. The purpose of this paper is to determine the graphs ILambda; r (P), (n ∈ N), which are obtained from diagram group for the union of two semigroup presentations of integers with s and t different initial generators. The number of vertices and edges in these graphs will be computed.

AB - Given any semigroup presentation, we may obtain the diagram group. The purpose of this paper is to determine the graphs ILambda; r (P), (n ∈ N), which are obtained from diagram group for the union of two semigroup presentations of integers with s and t different initial generators. The number of vertices and edges in these graphs will be computed.

KW - Diagram groups

KW - Generators

KW - Initial generators

KW - Relation

KW - Semigroup presentation

UR - http://www.scopus.com/inward/record.url?scp=84055193533&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84055193533&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84055193533

VL - 41

SP - 129

EP - 131

JO - Sains Malaysiana

JF - Sains Malaysiana

SN - 0126-6039

IS - 1

ER -