论文标题

定向超图的同源方面

Homological aspects of oriented hypergraphs

论文作者

Diestel, Reinhard

论文摘要

我们为超图的同源性定义了代数设置,在图形的情况下默认为简单同源性,并研究其基本属性。作为研究的一部分,我们定义了跨越超图的代数,以及扮演通常的角色的基本切割和周期。

We define an algebraic setup of homology for hypergraphs, which defaults to simplicial homology in the case of graphs, and study its basic properties. As part of our study we define algebraic spanning trees of hypergraphs, along with fundamental cuts and cycles playing their usual roles.

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