M.Phil / MS
Permanent URI for this collectionhttps://repository.cuilahore.edu.pk/handle/123456789/52
This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.
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Item On Degree Based Banhatti Indices Of Some Graphs(Library Information Services COMSATS University Islamabad Lahore Campus, 2021) Faheem Yaseen; FA19-RMT-043; LHR TP 7444; Dr. Sarfraz AhmadIn the domains of electronic and electrical engineering, graph theory is crucial. It’s significant in signal processing, networking, communication theory, and a variety of other fields. A topological index (TI) is a numerical value that correlates chemical networks with physical and chemical qualities, as well as chemical reactivity. In this thesis, we compute first and second Banhatti Indices, first and second K-hyper Banhatti indices, first and second multiplicative K-Banhatti indices, first and second multiplicative K-hyper Banhatti indices, K-harmonic Banhatti indices, multiplicative K-harmonic Banhatti indices for certain graphs like as Hierachical hypercube network one and two, block shift network one and two, Octagonal network and line graph of wheel graph. My thesis comprising of four chapters. In the first chapter we define some fundamental definitions. In the 2nd chapter, we find Banhatti indices for Hierachical hypercube network one and two, block shift network one and two. In the 3rd chapter, we find Banhatti indices for Octagonal network and line graph of wheel graph. In the 4th chapter, we present the conclusion of our thesis. In the last, we present the references of our thesis.Item Multiple Lump And Rogue Wave Solutions For …(Library Information Services COMSATS University Islamabad Lahore Campus, 2021) Muhammad Aamir Ashraf; FA19-RMT-092; LHR TP 7421; Dr. Sarfraz AhmadA solitary wave is a localised “wave of transcription” that appears from a balance between dispersive and nonlinear effects. A soliton is a specific type of solitary wave, since it maintains its original shape and speed when collides with other solitons. Nonlinear evolution equations (NLEEs) are the main classification of soliton solutions. In this work, our purpose is to attain lump, lump with one and two-kink soliton, periodic– waves, rogue–waves solution for various forms of NLEEs. We’ll also obtain M-shaped rational soliton, M-shaped interactions with kink and periodic waves, periodic-cross kink solutions, homoclinic breather and multi–wave solutions. In this thesis, we’ll study various forms of NLEEs to attained these types of solutions by the combinations of bilinear, hyperbolic, trigonometric, exponential, and hyperbolic functions. We also seen the degenerations of hybrid waves, through some fittingly bilinear forms and also discussed graphical behavior of our system.