Department of Mathematics

Permanent URI for this communityhttps://repository.cuilahore.edu.pk/handle/123456789/21

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Subject: search.filters.subject.Algebra, geometry and mathematical analysis

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    Holographic Inflation in Modified Theories of Gravity
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2020) Manzar Abbas; SP19-RMT-013; LHR TP 6472; Dr. Abdul Jawad
    In this thesis, we investigate the holographic inflation in the framework of two gravitational theories like f(T) gravity where T corresponds to the torsion scalar and DGP braneworld model which is based on the idea that our four dimensional FRW universe located on five dimensional manifold. TheGranda-Oliveros cutoff is used to explore all the inflationary parameters as slow roll parameters ( 1, 2, 3), number of e−folds N, scalar spectral index ns, tensor-to-scalar ratio r and running of the scalar spectral index αs. Also, we investigate the behavior of inflationary parameters ns−N, αs− N, r−N, αs−ns and r−ns through graphical presentation. The behavior of these parameters show the consistency with Planck data 2018.
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    On Topological Indices of Molecular Graph of Icosahedral Nanosheet
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2024) Seerat; SP21-BSM-032; Dr. Muhammad Kamran Siddiqui; LHR TP 9892
    The utilization of graph theory in multiple branches of research has been vastly enhanced, particularly in the domain of chemical graph theory. Over the past few years, numerous re searchers have been able to pursue a variety of novel avenues. A chemical graph is a named graph where the edges reflect chemical bonds between atoms and the vertices reflect the atoms of a compound. The investigation of topological indices is crucial for determining numerous physical and chemical characteristics of the under-investigation molecular struc tures. Firstly, we focused on degree-based topological indices, namely the Randic index, atom bond connectivity index, geometric arithmetic index, the first and the second Zagreb indices and co-indices, the first and the second multiple Zagreb indices and co-indices, hyper Zagreb index, forgotten index, augm,ented Zagreb index, Balaban index, redefined Zagreb type indices, of Molecular ,Graph of Icosahedral Nanosheet.