Molecular descriptors have found a wide application in QSPR/QSAR studies. Among them, topological indices have a prominent place. In this book we will try to detect some properties of topological indices of graphs which are based on the degree and distance. The structure of this book is arranged as follows: first in Chapter~2 we investigate the comparison of the variable Zagreb indices. Chapter 3 is devoted to the comparison between the Wiener index and Zagreb indices. Chapter 4 provides the augmented Zagreb index. Chapter 5 discusses the Wiener polarity index of graphs.