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This book introduce the hypergraph theory which come from database theory. Main contents are property of acyclic hypergraph and properties of cycle structure of hypergraph. The cycle axiom constitutes the foundation of the theory. The cycle axiom defines a cycle of hypergraph from global structure of the hypergraph. This is a new module in discrete mathematics. The book can be reference for teachers, engineers and graduate students in information science, compute science, etc.
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