7 papers
The slope of v-function and Waldschmidt constant
Manohar Kumar, Ramakrishna Nanduri, Kamalesh Saha
In this paper, we study the asymptotic behaviour of the v-number of a Noetherian graded filtration of a Noetherian -graded domain $…
On the Depth of Generalized Binomial Edge Ideals
Anuvinda J, Ranjana Mehta, Kamalesh Saha
This research focuses on analyzing the depth of generalized binomial edge ideals. We extend the notion of -compatible map for the pairs of a complete graph and an arbitrary grap…
On the -number of Gorenstein ideals and Frobenius powers
Nirmal Kotal, Kamalesh Saha
In this paper, we show the equality of the (local) -number and Castelnuovo-Mumford regularity of certain classes of Gorenstein algebras, including the class of Gorenste…
Componentwise linearity of edge ideals of weighted oriented graphs
Manohar Kumar, Ramakrishna Nanduri, Kamalesh Saha
In this paper, we study the componentwise linearity of edge ideals of weighted oriented graphs. We show that if is a weighted oriented graph whose edge ideal is componen…
The -number and Castelnuovo-Mumford regularity of cover ideals of graphs
Kamalesh Saha
The -number of a graded ideal , denoted by , is the minimum degree of a polynomial for which is a prime ideal. Jaramillo and Vill…
Cohen-Macaulay Weighted Oriented Chordal and Simplicial Graphs
Kamalesh Saha
Herzog, Hibi, and Zheng classified the Cohen-Macaulay edge ideals of chordal graphs. In this paper, we classify Cohen-Macaulay edge ideals of (vertex) weighted oriented chordal and…