Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices. The book covers some of the most commonly used mathematical approaches in the subject.

Stephan Wagner grew up in Graz (Austria), where he also received his PhD from Graz University of Technology in 2006. Shortly afterwards, he moved to South Africa, where he started his career at Stellenbosch University as a lecturer in January 2007. His research interests lie mostly in combinatorics and related areas, including connections to other scientific fields such as physics, chemistry and computer science.

Hua Wang received his PhD from University of South Carolina in 2005. He held a Visiting Research Assistant Professor position at University of Florida before joining Georgia Southern University in 2008. His research interests include combinatorics and graph theory, elementary number theory, and related problems in other fields. Most of his work, however, focuses on extremal problems related to topological indices.

Preliminaries. Distance in graphs and the Wiener index. Vertex degrees and the Randic index. Independent sets: Merrifield-Simmons index and Hosoya index. Graph spectra and the graph energy.