"This book introduces convex polytopes and their graphs, alongside the results and methodology required to study them. Including background material, open problems, and cutting-edge research, this is the ideal book for readers new to the area"--

Guillermo Pineda Villavicencio is Senior Lecturer in Computer Science and Mathematics at Deakin University (Australia), an honorary senior research fellow at Federation University Australia, and a fellow of AdvancedHE. He conducts research on graph theory and discrete geometry, the construction and analysis of large networks, and applications of mathematics to health informatics. He is an Accredited Member of the Australian Mathematical Society and was a member of its Council from 2018 to 2022. He is also a life member of the Combinatorial Mathematics Society of Australasia.

Preface; 1. Introduction; 2. Polytopes; 3. Polytopal graphs; 4. Connectivity; 5. Reconstruction; 6. Decomposition; 7. Diameter; 8. Faces; A. Open problems; B. Topology; C. Graphs; References; Glossary; Index.