اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدProjective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests
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In this paper we provide some exact formulas for projective dimension and the regularity of powers of edge ideals of vertex-weighted rooted forests. These formulas are functions of the weight of the vertices and the number of edges. We also give some examples to show that these formulas are related to direction selection and the assumptions about rooted forest such that $w(x)geq 2$ if $d(x) eq 1$ cannot be dropped.
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