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On quasi-equigenerated and Freiman cover ideals of graphs
Journal article   Peer reviewed

On quasi-equigenerated and Freiman cover ideals of graphs

Benjamin Drabkin and Lorenzo Guerrieri
Communications in algebra, Vol.48(10), pp.4413-4435
02/10/2020

Abstract

Mathematics Physical Sciences Science & Technology
A quasi-equigenerated monomial ideal I in the polynomial ring R = k[x(1),...,x(n)] is a Freiman ideal if mu(I-2) = l(I)mu(I) - ((2) (l(I))) where l(I) is the analytic spread of l and mu(I) is the number of minimal generators of I. Freiman ideals are special since there exists an exact formula computing the minimal number of generators of any of their powers. In this work, we address the question of characterizing which cover ideals of simple graphs are Freiman.

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