Polytopes and Graphs

"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"--

List of contents

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.

About the author

Guillermo Pineda Villavicencio is an Associate Professor in Computer Science and Mathematics at Deakin University, Australia, and a Fellow of AdvanceHE. 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 served on its Council from 2018 to 2022. He is also a Life Member of the Combinatorial Mathematics Society of Australasia.

Product details

• Authors: Guillermo Pineda Villavicencio, Guillermo (Deakin University Pineda Villavicencio
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 01.02.2024
• EAN: 9781009257817
• ISBN: 978-1-0-0925781-7
• No. of pages: 480
• Series: Cambridge Studies in Advanced Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Optimization, MATHEMATICS / Optimization, MATHEMATICS / Geometry / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Discrete Mathematics, MATHEMATICS / Topology, MATHEMATICS / Combinatorics, geometry, Topology, Discrete Mathematics, Combinatorics & graph theory, Calculus & mathematical analysis, Calculus and mathematical analysis, Combinatorics and graph theory