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多面形理论
图书信息
出版社: 科学出版社; 第1版 (2008年1月1日)
平装: 335页
正文语种: 英语
开本: 16
ISBN: 9787030208880
条形码: 9787030208880
尺寸: 24.2 x 17 x 2.2 cm
重量: 680 g
内容简介
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.Although the book is mainly for researchers in mathematics, theoretical physics, chemistry, biology and some others related, the basic part in each chapter can also be chosen for graduates and college teachers as references.
目录
Preface
Chapter Ⅰ Preliminaries
Ⅰ.1 Sets and mappings
Ⅰ.2 Partitions and permutations
Ⅰ.3 Group actions
Ⅰ.4 Networks
Ⅰ.5 Notes
Chapter Ⅱ Surfaces
Ⅱ.1 Polyhedra
Ⅱ.2 Elementary equⅣalence
Ⅱ.3 Polyhegons
Ⅱ.4 Orientability
Ⅱ.5 Classification
Ⅱ.6 Notes
Chapter Ⅲ Embeddings of Graphs
