Spectra of simple graph

Abstract

Spectra Of Simple Graphs

 

Samer Abedallah Batainah

Mu’tah University, 2011

 

In this thesis, we will discuss the basic concepts of simple graphs and related spectrum of well-knowing graphs by using the characteristic polynomial of adjacency matrices for the well-knowing graphs in general and we will investigate and present new and origin results of the relation between the spectrum of graphs and connectivity, the relation between the spectrum of the graph and related line graph and its complement, the relation between the basic concepts of the binding numbers, the covering number, the independent numbers and the characteristic polynomial in particular.