Department of Mathematics
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Item Degree Based Topological Co-Indices of Chemical Graphs(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Nazir Hussain; CIIT/SP20-RMT-021/LHR; Dr. Muhammad Kamran Siddiqui; LHR TP 7631Graph theory is playing a key role in applied and pure mathematics. The scope of graph theory is expanding day by day. In this thesis, we have evaluated some degree based topological co-indices, namely, the general Randic co-index for ∝= 1, −1, 1 2 , − 1 2 , the atom bond connectivity co- index, the geometric arithmetic co-index, the first and second Zagreb co-indices, the first and second Zagreb co-indices, the forgotten co-index, the hyper Zagreb co-index, the Balaban co-index, the first and second multiple Zagreb co-indices, the redefined first, second and third Zagreb co-indices for some chemical and lattices graphs like as line graph of Metal Organic Networks, Triangular Benzenoids Gn ⱯϵN, Zigzag edge cornoid fused with starphene zcs(k,l,m), Hony comb network (Hcn), Hydro chloroquine HCQ Conjugated Hydroxyethyl. My thesis comprising of eight chapters. In the first chapter we will define some fundamental definitions. In the 2nd chapter, we will find degree based topological Co- indices for line graph of Metal Organic Networks. In the 3rd chapter, we will find degree based topological Co- indices for Triangular Benzenoids Gn ⱯϵN. In the 4th chapter, we will find degree based topological Co- indices for Zigzag edge cornoid fused with starphene zcs(k,l,m). In the 5th chapter, we will find degree based topological Co- indices for Hony comb network (Hcn). In the 6th chapter, we will find degree based topological Co- indices for Hydro chloroquine HCQ Conjugated Hydroxyethyl. In the 7th chapter, we will present the conclusion of our thesis. In the last, we will present the references of our thesisItem Reverse Degree Based Topological Indices of Graph Products(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Inzimam Sajid; CIIT/SP20-RMT-035/LHR; Dr. Muhammad Kamran Siddiqui; LHR TP 7638Graph theory is playing a key role in applied and pure mathematics. The scope of graph theory is expanding day by day. In this thesis, we have evaluated some reverse degree based topological indices, namely, the reverse general Randic index for 𝛼 = 1, −1, 1 2 ,− 1 2 the reverse atom bond connectivity index, the reverse geometric arithmetic index, the reverse first and second Zagreb indices, the reverse first and second Zagreb co-indices, the reverse forgotten index, the reverse hyper Zagreb index, the reverse first and second multiple Zagreb indices, the reverse redefined first, second and third Zagreb indices for some reverse degree based topological indices for line graphs, Reverse Indices of various Products of graph. My thesis comprising of six chapters. In the first chapter we will define some fundamental definitions. In the 2nd chapter, we will find reverse degree based topological indices for various products of graphs. In the 3rd chapter, we will find reverse degree based topological indices for 𝐿(𝑀𝑂𝑁1(𝜒)). In the 4th chapter, reverse degree based topological indices for 𝐿(𝑀𝑂𝑁2(𝜒)). In the 5th chapter, we will present the conclusion of our thesis. In the 6th chapter, we will present the references of our thesis.