Name: Polytopes and Graphs (en Inglés)
SKU: 56048472
Price: 118.19 USD
Availability: InStock
Author: Guillermo Pineda Villavicencio

portada Polytopes and Graphs (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Guillermo Pineda Villavicencio

Idioma

Inglés

N° páginas

480

Encuadernación

Tapa Dura

ISBN13

9781009257817

Polytopes and Graphs (en Inglés)

Guillermo Pineda Villavicencio (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Polytopes and Graphs (en Inglés)"

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.