3 papers
math.AC2026
Homological shift ideals of weighted oriented graphs
Manohar Kumar, Joydip Mondal, Ramakrishna Nanduri
In this paper, we study the homological shift ideals of edge ideals associated with weighted oriented graphs. For a weighted oriented graph , let denote the $k^{th}…
math.AC2026
-number of Lovász-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphs
Manohar Kumar, Emiliano Liwski
In this paper, we introduce a new framework for computing certain localized -numbers of a class of ideals called coordinate-saturated ideals, which includes certain cla…
math.AC2025
Componentwise linearity of powers of edge ideals of weighted oriented graphs
Manohar Kumar, Joydip Mondal, Ramakrishna Nanduri
In this paper, we study the componentwise linearity of powers of edge ideal of a weighted oriented graph . We give a characterization for componentwise linearity of the edge ide…