اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدRelation between regularity of powers of edge ideals and (im, reg)-invariant extension
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Hiroju Kanno
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In this paper, we define (im, reg)-invariant extension of graphs and propose a new approach for Nevo and Peevas conjecture which said that for any gap-free graph $G$ with $reg(I(G)) = 3$ and for any $k geq 2$, $I(G)^k$ has a linear resolution. Moreover, we consider new conjectures related to the regularity of powers of edge ideals of gap-free graphs.
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