5 citations · 17 across the 13 of their papers we have counts for
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(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…
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…
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…
Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs
Marie Amalore Nambi, Neeraj Kumar
We classify all unicycle graphs whose edge-binomials form a -sequence, particularly linear type binomial edge ideals. We also classify unicycle graphs whose parity edge-binomial…
D-Sequence Edge Binomials, and Regularity of Powers of Binomial Edge Ideals of Trees
Marie Amalore Nambi, Neeraj Kumar
We provide the necessary and sufficient conditions for the edge-binomials of the tree forming a -sequence in terms of the degree sequence notion of a graph. We study the regular…
Syzygies, Betti numbers and regularity of cover ideals of certain multipartite graphs
A V Jayanthan, Neeraj Kumar
Let be a finite simple graph on vertices. Let be the cover ideal of . In this article, we obtain syzygies, Betti numbers and Castelnuov…