On line graphs of simple graphs
Other Title(s)
في مجال الرسوم الخطية للرسومات البسيطة
Dissertant
Thesis advisor
al-Warikat, Fawwaz Awwad Dujan
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2021
Arabic Abstract
في هذه الأطروحة، تمت دراسة الخصائص الأساسية للرسوم البيانية الخطية و مناقشتها، ثم حددنا تأثير العمليات على الرسوم الخطية للرسوم البيانية البسيطة، ثم قدمنا رسوم أويلر البيانية للرسوم الخطية لأنواع معينة من الرسوم ثم تم بناء العلاقات بين الرسوم البيانية الخطية و تقنيات نظرية الرسم الجبرية قدمنا بعض الأمثلة الملموسة لتوضيح النتائج ذات الصلة في السياق.
English Abstract
In this thesis, basic properties of line graphs are investigated and discussed, then we determined the effect of operations on line graphs of simple graphs, then we presented the Eulerian graphs of line graphs of certain types of graphs.
Then the relations between line graphs and algebraic graph theory techniques were constructed.
Some significant examples are given to illustrate related results in the sequel.
Main Subjects
No. of Pages
47
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Preliminaries.
Chapter Three : Line graphs.
Chapter Four : Structure properties of line graphs.
Chapter Five : Algebraic properties of line graphs.
References.
American Psychological Association (APA)
al-Saduq, Mahmud Fuad Lafi. (2021). On line graphs of simple graphs. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1332234
Modern Language Association (MLA)
al-Saduq, Mahmud Fuad Lafi. On line graphs of simple graphs. (Master's theses Theses and Dissertations Master). Mutah University. (2021).
https://search.emarefa.net/detail/BIM-1332234
American Medical Association (AMA)
al-Saduq, Mahmud Fuad Lafi. (2021). On line graphs of simple graphs. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1332234
Language
English
Data Type
Arab Theses
Record ID
BIM-1332234