二结构理论：图像分解及转化的结构THEORY OF 2-STRUCTURES
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作者： Andrzej Ehrenfeucht著
出 版 社： Aspen Publishers
出版时间： 1999-12-1字数：版次： 1页数： 290印刷时间： 1999/10/01开本：印次： 1纸张： 胶版纸I S B N ： 9789810240424包装： 精装内容简介
Designed to give self-contained treatment of the theory of 2-structures, providing a convenient framework for decomposition and transformation of mathematical systems, where one or several different binary relationships hold between the objects of a system.
目录
Preface
Chapter 1 Preliminaries
1.1 Notations
1.1.1 Sets and functions
1.1.2 Closure operators
1.1.3 Relations
1.1.4 Equivalence relations
1.2 Partial orders
1.2.1 Downsets
1.2.2 Order ernbeddings
1.2.3 Linear orders
1.3 Semigroups and groups
1.3.1 Notations for semigroups and rnonoids
1.3.2 Free monoids (with involution)
1.3.3 Preliminaries on groups
1.3.4 Group actions
1.3.5 Free groups, commutators and verbal identities
Chapter 2 Graph Theoretical Preliminaries
2.1 Directed and Undirected Graphs
2.1.1 Basic notions
2.1.2 Connectivity of graphs
2.1.3 Some special graphs
2.2 Comparability graphs
2.2.1 Transitively oriented graphs...
2.2.2Permutation graphs and cographs
2.2.3 Construction trees of cographs .
Chapter 3 2-Structures and Their Clans
3.1 Introduction and representations
3.1.1 Definition of a 2-structure
3.1.2 Isomorphic 2-structures
3.1.3 Reversibility
3.2 Substructures and clans
3.2.1 Substructures, clans and factors . .
3.2.2 Refinements and similarity
3.2.3 Reversible version
3.2.4 Graphs and packed components
3.2.5 Some special 2-structures
3.3 Closure properties of clans
3.3.1 Basic closures
3.3.2 Sibas: set theoretic closure properties
3.3.3 Clans of factors
3.4 Prime clans
3.4.1 Prime members in sibas
3.4.2 Minimal overlapping clans
Chapter 4 Quotients and Homomorphisms
4.1 Quotients
4.1.1 Factorizations and quotients
4.1.2 Homomorphisms
4.1.3 Natural epimorphisms and decompositions
4.2 Clans and epimorphisms
4.2.1 Htonlomorphism theorem
4.2.2 Prime clans in quotients
4.2.3 Primitive quotients
4.3 Other operations
4.3.1 Premorphisms
4.3.2 Extensions
Chapter 5 Clan Decomposition
5.1 The clan decomposition theorem
……
Chapter 6 Primitive 2-Stuctures
Chapter 7 Angular2-Structures
Chapter 8 Labelled 2-Structures
Chapter 9 Unstable Labelled 2-Sturctures
Chapter 10 Automorphisms of Labelled 2-Structures
Chapter 11 Switching of Graphs
Chapter 12 Labelled Structures over Groups
Chapter 13 Clans of Switching Classes
Chapter 14 Quotients and Plane Trees
Chapter 15 Invariants
Bibliography
Notations
Index
