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Tables of Contents for Chemical Topology
Chapter/Section Title
Page #
Page Count
Introduction to the Series
ix
Preface
xiii
Topology in Chemistry
1
38
R.B. King
Introduction
1
5
Topological Spaces and their Properties
6
7
From Topology to Polyhedra
13
13
Some Topological Aspects of Surfaces and Knots
26
9
Summary
35
1
References
36
3
Topo-Graphs, Embeddings and Molecular Structure
39
46
D.J. Klein
Introduction
39
1
Eulerian Topology
40
13
Stoichiometry and Euler's Relation
53
14
Curvatures and Graph Embeddings
67
7
Curvature Strain in Molecules
74
5
Outlook
79
1
References
79
6
Topological Aspects of Carbon Allotrope Structures
85
44
R.B. King
Introduction
85
6
Fullerenes: Molecular Carbon Cages
91
20
Schwarzites: Hypothetical Negative Curvature Polymeric Carbon Allotropes
111
13
Summary
124
1
References
125
4
New Developments in Three-Dimensional Molecular Topology
129
38
P.G. Mezey
Introduction
130
3
Homotopy Groups as Tools of Shape Analysis: Potential Energy Hypersurfaces
133
2
Two-Dimensional Homotopy Groups of Molecular Electron Density Clouds
135
6
Computational Aspects of Topological Descriptors of Macromolecular Electron Densities
141
2
Chirality Measures and Graph Representations of Molecular Electron Densities
143
5
Applications of the Chirality Degree X(J): A-Equivalent and Equichirality of Chiral Jordan Curves
148
2
The Polycube Approach to the Characterization of Molecular Bodies
150
1
Combining Geometrical and Topological Approaches: A Geometrical-Topological Chirality Measure
151
3
Three-Dimensional Extension of the Geometrical-Topological Chirality Measure
154
3
Comments and Examples
157
4
Summary
161
1
References
162
5
Intuitive Chemical Topology Concepts
167
98
E.V. Babaev
Introduction
168
2
Some Useful Concepts of Visual Topology
170
11
Explicit Concepts of Molecular Topology
181
9
Intuitive Chemical Concepts Related to Topology
190
6
Topology of Lewis Formula: Pseudographs, Graphoids and Topoids
196
7
Some Properties of Molecular Topoids
203
9
Invariance of the Euler Characteristic in Chemical Reactions
212
6
Homeomorphism of Topoids
218
7
Surfaces with Jordan Curves as Exact Images of Graphs
225
6
Chemical Applications of Surfaces with Embedded Jordan Curves
231
6
Delocalized Bonds and Hypertopoids
237
16
Orientation, Spin and Nonorientable Surfaces of Free Radicals
253
3
Conclusion
256
1
References
257
8
Topology of Polymers: Entangled Dynamics and Melt Flow
265
52
T. McLeish
Introduction
265
6
Monodisperse Linear Polymers
271
7
Monodisperse Star-Branched Polymers
278
12
More Complex Topologies
290
7
Response to Large Deformations and Flows
297
14
Conclusions
311
1
References
312
5
Index
317