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    The Existence of Diameter-Edge-Critical Graphs

    Almalki 2017.pdf (272.6Mb)
    Access Status
    Open access
    Authors
    Almalki, Norah Saleh A
    Date
    2016
    Supervisor
    Prof. Louis Caccetta
    Type
    Thesis
    Award
    PhD
    
    Metadata
    Show full item record
    Faculty
    Science and Engineering
    School
    Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/55063
    Collection
    • Curtin Theses
    Abstract

    This thesis investigates diameter-edge-critical graphs. Graphs are considered an excellent modelling tool for complex physical systems and many real world problems can be represented by graphs. An important problem that arises is that of characterizing graphs that satisfy certain properties representing the requirements of the system. The diameter of a graph is an important parameter in network design and analysis, as it provides information on the efficiency and the reliability of the network. This thesis establishes classes of diameter-edge-critical graphs that have applications in networks that arise in our high technology world.

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