پديدآورندگان :
Madadi Asghar amadadi2009@gmail.com Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran. , Ajdani Seyyed Mohammad majdani2@yahoo.com Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran , Ahmadi Kamal kamal.ahmadi.math@gmail.com Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.
كليدواژه :
Cohen , Macaulay graph , r , partite , clique cover , perfect r , matching
چكيده فارسي :
In this paper, we give some necessary conditions for an $r$-partite graph such that the edge ring of the graph is Cohen-Macaulay. It is proved that if there exists a cover of an r-partite Cohen-Macaulay graph by disjoint cliques of size r, then such a cover is unique.
