Final Year Projects (FYPs) - Undergraduates
Permanent URI for this collectionhttps://repository.cuilahore.edu.pk/handle/123456789/53
This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.
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Item Topological Indices of Graphs and Some Related Aspects(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2024) Ayesha Mehmood; CIIT/SP21-BSM-018/LHR; Dr. Sana Javed; LHR TP 9886This project explores the application of graph theory in chemistry, emphasizing topological indices such as the Leap Eccentric Connectivity Index (LECI) and Leap Zagreb Indices. These indices serve as mathematical descriptors to model molecular structures and predict chemical properties, contributing to quantitative structure- property (QSPR) and structure-activity relationships (QSAR). The study includes graph theory concepts, including vertices, edges, and connectivity. Detailed computations of the Leap Eccentric Connectivity Index (LECI) and Leap Zagreb Indices for various types of graphs, including complete, bipartite, wheel, and star graphs. Extensions to specialized graph structures like subdivision graphs, windmill graphs, and flower graphs are also included. This project is divided into five chapters. Chapter 1 provides basic terminologies, definitions and notions from graph theory and Leap Eccentric connectivity indices. Chapter 2 gives a literature review. Chapter 3 is about main results of the project while a discussion is provided in chapter 4. The references used in the project are given in chapter 5.Item On Topological Indices of Molecular Graph of Icosahedral Nanosheet(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2024) Seerat; CIIT/SP21-BSM-032/LHR; Dr. Muhammad Kamran Siddiqui; LHR TP 9892The 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.Item On Topological Indices of Molecular Graph of Bismuth Iodide(2024) Maira Alam CIIT/FA20-BSM-020/LHR Momina Khalil CIIT/FA20-BSM-072/LHR; Dr. Muhammad Kamran Siddiqui; LHR TP 9897The 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, augmented Zagreb index, Balaban index, redefined Zagreb type indices, of Molecular Graph of Bismuth(|||) Iodide.Item Topological Indices of Graphs and Some Related Aspects(Library Infoamtion Services, COMSATS University Islamabad, Lahoe Campus, 2025) Ayesha Mehmood CIIT/SP21-BSM-018/LHR; Dr. Sana Javed; Lhr TP 9886This project explores the application of graph theory in chemistry, emphasizing topological indices such as the Leap Eccentric Connectivity Index (LECI) and Leap Zagreb Indices. These indices serve as mathematical descriptors to model molecular structures and predict chemical properties, contributing to quantitative structure- property (QSPR) and structure-activity relationships (QSAR). The study includes graph theory concepts, including vertices, edges, and connectivity. Detailed computations of the Leap Eccentric Connectivity Index (LECI) and Leap Zagreb Indices for various types of graphs, including complete, bipartite, wheel, and star graphs. Extensions to specialized graph structures like subdivision graphs, windmill graphs, and flower graphs are also included. This project is divided into five chapters. Chapter 1 provides basic terminologies, definitions and notions from graph theory and Leap Eccentric connectivity indices. Chapter 2 gives a literature review. Chapter 3 is about main results of the project while a discussion is provided in chapter 4. The references used in the project are given in chapter 5.