On the cycles of graphs

Other Title(s)

حول دارات البيانات.

Dissertant

Kasasbah, Hamzah Taha

Thesis advisor

Warikat, Fawwaz Awwad

Comitee Members

al-Zubi, Maarif Yusuf
al-Huri, Talal Ali
al-Nabawi, Kamal Ata Allah

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2007

English Abstract

In this thesis, we study the cycles of some well-known graphs.

We introduce new concepts and related to cycles of graphs and find the effect of operations on the cycle's number and length.

We also introduce a new matrix representation of bipartite graphs, new and original results on the relation of partition of bipartite Hamiltonian graphs onto two cycles.

Moreover, the relations between the characteristic polynomials and the cycle's matrices have been investigated.

Main Subjects

Mathematics

No. of Pages

38

Table of Contents

Table of contents.

Abstract.

Chapter one : Introduction.

Chapter two : Basic definitions and preliminaries.

Chapter three : Review of earlier studies.

Chapter four : The cycles of graphs.

Chapter five : Matrices and cycles of graphs.

References.

American Psychological Association (APA)

Kasasbah, Hamzah Taha. (2007). On the cycles of graphs. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304420

Modern Language Association (MLA)

Kasasbah, Hamzah Taha. On the cycles of graphs. (Master's theses Theses and Dissertations Master). Mutah University. (2007).
https://search.emarefa.net/detail/BIM-304420

American Medical Association (AMA)

Kasasbah, Hamzah Taha. (2007). On the cycles of graphs. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304420

Language

English

Data Type

Arab Theses

Record ID

BIM-304420