Regularity, Rees algebra, and Betti numbers of certain cover ideals
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DOI: 10.1007/s00013-020-01486-9
Abstract: Let $$S={\textsf {k}}[X_1,\dots , X_n]$$ S = k [ X 1 , ⋯ , X n ] be a polynomial ring, where $${\textsf {k}}$$ k is a field. This article deals with the defining ideal… read more here.
Keywords: algebra betti; regularity rees; rees algebra; betti numbers ... See more keywords
Algebraic Properties of Edge Ideals and Cover Ideals of Unbalanced Crown Graphs
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DOI: 10.1007/s41980-021-00560-4
Abstract: In this paper, we introduce the unbalanced crown graphs $${\mathcal {C}}_{m,n}$$ , and compute all graded Betti numbers of edge ideals of these graphs in terms of associated numerical data. As a consequence, we determine… read more here.
Keywords: edge ideals; crown graphs; algebraic properties; unbalanced crown ... See more keywords