Chemical graph theory, a branch of theoretical chemistry, presents many utilities for the clarification of molecular structures resulting in important applications of graphs. One of these utilities called as topological indices are also known as molecular structure descriptors and have been extensively studied for a long time. Topological indices have attracted the attention of many researchers, particularly in mathematics and chemistry. The literature contains many important results and still-unsolved problems related to topological indices. Obtaining lower and upper bounds for these indices, characterizing graphs in equivalence, and using these indices to analyze the properties of chemical structures, QSAR and QSPR studies are among the primary research topics. Numerous articles have been and are still being studied in this direction in the literature. To provide all researchers working in this field with an opportunity to share their new works, we have attempted to compile a new book series on

Graph Theory and Its Applications

and the first volume of this series is titled

Topological Indices of Graphs I.