Department of Mathematics

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    Resolving Topological Index Of Graphs Associated
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Ali Bahadar; FA19-RMT-109; Dr. Kashif Ali; LHR TP 7394
    In this thesis, we study a well-known concept of graph theory, called resolvability, in con- text of two types of graphs ( commuting and non-commuting) associated to two algebraic structures (dihedral and semi-dihedral groups). By analyzing the resolving share and the average resolving share of each vertex, we compute the resolving topological index of each graph.
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    DEGREE BASE TOPOLOGICAL INDICES OF SOME FAMILIES OF GRAPHS
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2016) Mahrukh; SP15-RMT-009; LHR TP 6828; Dr. Kashif Ali
    Atopological index is a numerical value associated with chemical constitution for cor relation of chemical structure with various physical properties, chemical reactivity or biological activity. In this thesis, we will discuss the different degree based topological indices i.e. Randic index, Zagreb index, Atom-bond connectivity index, Geometric arithmetic index, Augmented Zagreb index, Harmonic index, Sum-connectivity index for benzene BCZ, Benzene BTA diamond like graph, line graph of ladder and line graph of nanostar dendrimers. We will also compute ABC4 and GA5 for benzene BCZ, Benzene BTA diamond like graph