onaxiomscontitutingthefoundationofhypergraphtheory

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	onaxiomscontitutingthefoundationofhypergraphtheory
	Wang jianfang
	2005
发表期刊	actamathematicaeapplicataesinica
ISSN	0168-9673
卷号	021 期号:003 页码:495
摘要	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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/42174
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Wang jianfang. onaxiomscontitutingthefoundationofhypergraphtheory[J]. actamathematicaeapplicataesinica,2005,021(003):495.
APA	Wang jianfang.(2005).onaxiomscontitutingthefoundationofhypergraphtheory.actamathematicaeapplicataesinica,021(003),495.
MLA	Wang jianfang."onaxiomscontitutingthefoundationofhypergraphtheory".actamathematicaeapplicataesinica 021.003(2005):495.