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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.

The theme of this book is the spectral properties of graphs. The book is divided into four chapters. Chapter 1 presents some basic terminologies and notations. Chapter 2 devotes to hyperenergetic graphs and the largest eigenvalue of non-regular graphs associated with the spectrum of graphs. Chapter 3 provides some results on the Laplacian spectrum of graphs, included Laplacian spread, Laplacian spectral ratio, Laplacian-energy-like, Kirchhoff index and the sum of Laplacian eigenvalues. The separator, spread and spectral radius on signless Laplacian spectrum of graphs are studied in Chapter...