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On Axioms Contituting the Foundation of Hypergraph Theory 被引量:3
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作者 Jian-fang Wang 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2005年第3期495-498,共4页
Hypergraphs are systems of finite sets, being the most general structures in discrete mathematics and powerful tools in dealing with discrete systems. In general, a branch of mathematics is built on some axioms. Infor... Hypergraphs are systems of finite sets, being the most general structures in discrete mathematics and powerful tools in dealing with discrete systems. In general, a branch of mathematics is built on some axioms. Informational scientists introduced the acyclic axiom for hypergraphs. In this paper, we first list several results concerning acyclic hypergraphs, in order to show that Acyclic-Axioms constitute the foundation of acyclic hypergraph theory. Then we give the basic theorem which shows that the Cycle-Axiom covers the Acyclic-Axioms and constitutes the foundation of hypergraph theory. 展开更多
关键词 Acyclic-axiom cycle-axiom HYPERGRAPH
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