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Tables of Contents for Graph Theoretical Models of Abstract Musical Transformation
Chapter/Section Title
Page #
Page Count
Preface
ix
Part One: Graphing
3
36
Introduction
3
12
Formalities
15
6
Enumeration: Degree Sequences
21
6
Comparisons and Structural Properties
27
12
Part Two: Construction
39
12
Basic Techniques
39
12
Part Three: Classification
51
28
K-Regular Graphs
51
12
Hierarchies
63
16
Part Four: Realizations
79
42
Literal Spaces
79
10
Extended Possibilities
89
6
"Shock and the Ever-Extending Opposites"; Pitch-Class Graphs and Broken Sequences
95
26
Exercises
121
6
Appendix I: Complementary Hexachordal Graphs
127
20
Appendix II: 12-Position Degree Sequences from Five-Regular
147
12
Appendix III: Selected 12-Position Degree Sequences by Edges Required
159
20
Bibliography
179