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Theory of Polyhedra
Author(s): Yanpei Liu
Publisher: Science Press
Published Date: 2008
ISBN: 978-7-03-020888-0
Pages: 335
Language: English
Type: Book
Cover: Hard Cover
Our Price
: $50.60
Avail
: In-Stock
Description
This monograph is for a unified theory of surfaces, embeddings and maps all considered as polyhedra via the joint tree modal which was initiated from the author’s articles in the seventies of last century and has been basically developed in recent decades. Complete invariants for each classification are topologically, combinatorially or isomorphically extracted. A number of counting polynomials including handle and crosscap polynomials are presented. In particular, an appendix serves as the exhaustive counting super maps (rooted and nonrooted) including these polynomials with under graphs of small size for the reader’s digests.
Main Contents
Chapter 1 Preliminaries
Chapter 2 Surfaces
Chapter 3 Embeddings of Graphs
Chapter 4 Mathematical Maps
Chapter 5 Duality on Surfaces
Chapter 6 Invariants on Basic Class
Chapter 7 Asymmetrization
Chapter 8 Asymmetrized Census
Chapter 9 Petal Bundles
Chapter 10 Super Maps of Genus Zero
Chapter 11 Symmetric Census
Chapter 12 Cycle Oriented Maps
Chapter 13 Census by Genus
Chapter 14 Classic Applications
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