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Eigenvalues of a graph

Sandra Bolta (2014) Eigenvalues of a graph. Diploma thesis.

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    Abstract

    In this BSc thesis we deal with matrix graph theory. We are interested primarily in the eigenvalues of the so-called adjacency matrix of a given graph. Because of that, we present the basic concepts and some basic results from linear algebra and a short introduction to a graph theory. We introduce the concepts of adjacency matrices, eigenvalues and the spectrum of a given graph. We investigate how the properties of a given graph reflect on its spectrum. For the well-known families of graphs we calculated their spectra.

    Item Type: Thesis (Diploma thesis)
    Keywords: eigenvalues, graph theory, adjacency matrix, graph spectrum, well-known graphs
    Number of Pages: 34
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    doc. dr. Primož ŠparlMentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=10388297)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 2668
    Date Deposited: 19 Jan 2015 07:31
    Last Modified: 19 Jan 2015 07:31
    URI: http://pefprints.pef.uni-lj.si/id/eprint/2668

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