On the Cohen-Macaulay graphs and girth

Details On the Cohen-Macaulay graphs and girth On the Cohen-Macaulay graphs and girth

2012-04-25

arxiv.org/abs/1204.5561v1

Mathematics

Commutative Algebra

Scientific paper

In this paper we investigate the Cohen-Macaulay property of graphs versus
girth. In particular, we classify Cohen-Macaulay graphs of girth at least five
and planar Gorenstein graphs of girth four.

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