Science, Nature & Maths      Mathematics

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

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Book Details
Language
English
Publishers
Cambridge University Press; New edition (21 Mar. 2024)
Weight
0.8 KG
Publication Date
22/02/2024
ISBN-10
1009257811
Pages
470 pages
ISBN-13
9781009257817
Dimensions
15.24 x 3.18 x 22.86 cm
SKU
9781009257817
Author Name
Guillermo Pineda Villavicencio (Author)
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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.

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