Hardcover. Condition: new. Hardcover. This book introduces convex polytopes and their graphs, alongside the results and methodologies required to study them. It guides the reader from the basics to current research, presenting many open problems to facilitate the transition. The book includes results not previously found in other books, such as: the edge connectivity and linkedness of graphs of polytopes; the characterisation of their cycle space; the Minkowski decomposition of polytopes from the perspective of geometric graphs; Lei Xue's recent lower bound theorem on the number of faces of polytopes with a small number of vertices; and Gil Kalai's rigidity proof of the lower bound theorem for simplicial polytopes. This accessible introduction covers prerequisites from linear algebra, graph theory, and polytope theory. Each chapter concludes with exercises of varying difficulty, designed to help the reader engage with new concepts. These features make the book ideal for students and researchers new to the field. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781009257817

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Polytopes and Graphs

Villavicencio, Guillermo Pineda

Published by Cambridge University Press, 2024

ISBN 10: 1009257811 ISBN 13: 9781009257817

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Polytopes and Graphs (Cambridge Studies in Advanced Mathematics, Series Number 211)

Pineda Villavicencio, Guillermo

Published by Cambridge University Press, 2024

ISBN 10: 1009257811 ISBN 13: 9781009257817

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Polytopes and Graphs

Villavicencio, Guillermo Pineda

Published by Cambridge University Press, 2024

ISBN 10: 1009257811 ISBN 13: 9781009257817

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Polytopes and Graphs

Guillermo Pineda Villavicencio

Published by Cambridge University Press, 2024

ISBN 10: 1009257811 ISBN 13: 9781009257817

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