Line graphs of simple graphs and structure properties

Other Title(s)

الرسومات الخطية البسيطة و خصائصها البنائية

Dissertant

Atum, Ahmad Mahmud

Thesis advisor

Warikat, Fawwaz Awwad

Comitee Members

Sulayman, Ibrahim Abd Allah
al-Talafihah, Adib Qasim
al-Umari, Ahmad Abd Allah

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2011

Arabic Abstract

لقد قمنا في هذه الرسالة بدراسة المفاهيم الأساسية للرسومات الخطية البسيطة و خصائصها البنائية و تمكنا من إيجاد العلاقة بين أرقام الغطاء و الاستقلال للرسومات الخطية.

و تمكنا من تطوير و إيجاد نتائج جديدة و ملموسة في هذا المجال.

English Abstract

In this thesis we discuss the basic concepts of line graphs of simple graphs and structure properties, and find a relation between cover and independence numbers of graphs and line graphs, and generalization for covering k-regular.

We go over the main results in the case of line graph and for covering number and independence numbers.

Also, new and tangible results be achieved in this field.

Main Subjects

Mathematics

Topics

No. of Pages

34

Table of Contents

Table of contents.

Abstract.

Chapter one : Introduction.

Chapter two : Earlier studies.

Chapter three : Line graph of simple graphs.

Chapter four : Covering and independent number.

References.

American Psychological Association (APA)

Atum, Ahmad Mahmud. (2011). Line graphs of simple graphs and structure properties. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303396

Modern Language Association (MLA)

Atum, Ahmad Mahmud. Line graphs of simple graphs and structure properties. (Master's theses Theses and Dissertations Master). Mutah University. (2011).
https://search.emarefa.net/detail/BIM-303396

American Medical Association (AMA)

Atum, Ahmad Mahmud. (2011). Line graphs of simple graphs and structure properties. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303396

Language

English

Data Type

Arab Theses

Record ID

BIM-303396