An account of some aspects of combinatorial mathematics

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Author(s): L. Mirsky (Eds.)
Series: Mathematics in Science and Engineering 75
Publisher: Academic Press
Year: 1971

Language: English
Pages: iii-vi, 1-255

Content:
Edited by
Page iii

Copyright page
Page iv

PREFACE
Pages v-vi
L. Mirsky

1 Sets, Topological Spaces, Graphs
Pages 1-23

2 Hall's Theorem and the Notion of Duality
Pages 24-38

3 The Method of ‘Elementary Constructions’
Pages 39-51

4 Rado's Selection Principle
Pages 52-73

5 Variants, Refinements, and Applications of Hall's Theorem
Pages 74-89

6 Independent Transversals
Pages 90-111

7 Independence Structures and Linear Structures
Pages 112-129

8 The Rank Formula of Nash-Williams
Pages 130-146

9 Links of Two Finite Families
Pages 147-168

10 Links of Two Arbitrary Families
Pages 169-182

11 Combinatorial Properties of Matrices
Pages 183-213

12 Conclusion
Pages 214-228

Miscellaneous Exercises
Pages 229-235

Bibliography
Pages 236-246

Index of Symbols
Pages 247-248

Index of Authors
Pages 249-251

General Index
Pages 252-255