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

Yousof Gheisari, Abd. Ghafur Ahmad

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)129-131
Number of pages3
JournalSains Malaysiana
Volume41
Issue number1
Publication statusPublished - Jan 2012

Fingerprint

Union
Diagram
Semigroup
Integer
Graph in graph theory
Generator
Presentation

Keywords

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

ASJC Scopus subject areas

  • General

Cite this

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

In: Sains Malaysiana, Vol. 41, No. 1, 01.2012, p. 129-131.

Research output: Contribution to journalArticle

@article{8523a2a3e0004957aa81015a966ef70c,
title = "Components in graphs of diagram groups over the union of two semigroup presentations of integers",
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.",
keywords = "Diagram groups, Generators, Initial generators, Relation, Semigroup presentation",
author = "Yousof Gheisari and Ahmad, {Abd. Ghafur}",
year = "2012",
month = "1",
language = "English",
volume = "41",
pages = "129--131",
journal = "Sains Malaysiana",
issn = "0126-6039",
publisher = "Penerbit Universiti Kebangsaan Malaysia",
number = "1",

}

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 -