Graph matrıces and energy


Thesis Type: Postgraduate

Institution Of The Thesis: Bursa Uludağ University, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK, Turkey

Approval Date: 2019

Thesis Language: Turkish

Student: ÇİLEM YAMAÇ

Supervisor: İsmail Naci Cangül

Abstract:

The aim of this study is to calculate characteristic polynomials of several graph classes by means of some graph matrices and also to find edge-Zagreb indices. There are four chapters in this thesis. In the first chapter, there is introduction to the thesis. Fundamental definitions and notions together with some important results which are necessary in the following chapters. In the second chapter, the edge-adjacency matrices are defined by means of the edge-adjacency idea and also the corresponding characteristic polynomials are obtained. In the third chapter, the incidency matrices and polynomials are considered, and in the fourth chapter, the edge-Zagreb indices which have been studied relatively less compared with the vertex-based counterpart are studied.