Let G be a simple graph with edge ideal I(G). In this article we study the number of pairwise 3-disjoint edges of cycles and complement of triangle-free graphs. Using that, we determine the Castelnuovo-Mumford regularity of R/I(G) for the above classes of graphs according to the number of pairwise 3-disjoint edges.
机构:
Kharazmi Univ, Fac Math Sci & Comp, Tehran, Iran
Inst Res Fundamental Sci IPM, Sch Math, Tehran, IranKharazmi Univ, Fac Math Sci & Comp, Tehran, Iran