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China References connects you to the rapidly emerging super power in the world quickly! Sunday, November 10, 2024

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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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