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

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£66.99 £9.80 £22.28 £34.76 £47.23 £59.71 £72.19 25 July 2026 12 August 2026 30 August 2026 17 September 2026 06 October 2026
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17 days · current 29 days 18 days 8 days 2 days 0 7 15 22 29 £15 £33 £59 £64 £67 Days at Price

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Price range: £15 - £67

Price levels: 5 different prices over 74 days

Description

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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
21 March 2024
Listed Since
19 October 2023

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