Chapter 1 Basic Terminologies
Chapter 2 Relational Databases
2.1 Operators and operands in relational algebra
2.2 Dependences in relations
2.3 Entropy
2.4 Conflict—free sets of MVDs
2.5 Consistency of databases
2.6 Monotone join expression
Chapter 3 Some Classical Results
Chapter 4 Acyclic Hypergraphs
4.1 Characteristics of acyclic hypergraphs
4.2 Size of acyclic hypergraphs
4.3 Enumeration of acyclic hypergraphs
Chapter 5 Algorithms to Test Acyclicity of Hypergraphs
Chapter 6 Characteristics of Cyclic Hypergraphs
Chapter 7 Three Parameters
Chapter 8 Cycles of Hypergraphs
8.1 Cycle—axiom of hypergraphs
8.2 Cyclomatic numbers of hypergraphs
8.3 Extreme value of cyclomatic numbers of hypergraphs
8.4 On size ofunicycle hypergraphs
8.5 M5bius functions
Chapter 9 Hamiltonian Cycles of Hypergraphs
Chapter 10 Decompositions of Hypergraphs
10.1 Acyclic decompositions of hypergraphs
10.2 A structure decompositions for hypergraphs
Bibliography
Appendix