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math.AC2023
(Almost) Complete Intersection Lovász-Saks-Schrijver ideals and regularity of their powers
Marie Amalore Nambi, Neeraj Kumar, Chitra Venugopal
We discuss the property of (almost) complete intersection of LSS-ideals of graphs of some special forms, like trees, unicyclic, and bicyclic graphs. Further, we give a sufficient c…
math.AC2023★ 1 cited
Some classes of sequences of Linear Type
Neeraj Kumar, Chitra Venugopal
Given a graded ring and a homogeneous ideal , the ideal is said to be of linear type if the Rees algebra of is isomorphic to the symmetric algebra of . In general, $y…
math.AC2023★ 1 cited
Rees algebra of maximal order Pfaffians and its diagonal subalgebras
Neeraj Kumar, Chitra Venugopal
Given a skew-symmetric matrix , the Pfaffian of is defined as the square root of the determinant of . In this article, we give the explicit defining equations of the Rees…