Kamalesh Saha

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20212026

most citedOn the path ideals of chordal graphs

1 citations · 3 across the 25 of their papers we have counts for

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8 papers · 1 filter

math.AC2024

Regularity of two classes of Cohen-Macaulay binomial edge ideals

Om Prakash Bhardwaj, Kamalesh Saha

Some recent investigations indicate that for the classification of Cohen-Macaulay binomial edge ideals, it suffices to consider biconnected graphs with some whiskers attached (in s…

math.AC2024★ 1 cited

Square-free powers of Cohen-Macaulay forests, cycles, and whiskered cycles

Kanoy Kumar Das, Amit Roy, Kamalesh Saha

Let $I (G)^{[k]}$ denote the $k^{t h}$ square-free power of the edge ideal $I (G)$ of a graph $G$ . In this article, we provide a precise formula for the depth of $I (G)^{[k]}$ when $G$ …

math.AC2024

Binomial expansion and the $v$ -number

Kamalesh Saha

Let $I \subset A$ and $J \subset B$ be two monomial ideals, where $A$ and $B$ are two polynomial rings with disjoint variables. Considering a general set-up of monomial filtrations,…

math.CO2024★ 1 cited

On the path ideals of chordal graphs

Kanoy Kumar Das, Amit Roy, Kamalesh Saha

In this article, we give combinatorial formulas for the regularity and the projective dimension of $3$ -path ideals of chordal graphs, extending the well-known formulas for the edge…

math.AC2024

On the $v$ -number of binomial edge ideals of some classes of graphs

Deblina Dey, A. V. Jayanthan, Kamalesh Saha

Let $G$ be a finite simple graph, and $J_{G}$ denote the binomial edge ideal of $G$ . In this article, we first compute the $v$ -number of binomial edge ideals corresponding t…

math.AC2024

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 $I = {I_{[k]}}_{k \geq 0}$ of a Noetherian $N$ -graded domain $…

math.AC2024

Asymptotic behaviour and stability index of v-numbers of graded ideals

Prativa Biswas, Mousumi Mandal, Kamalesh Saha

Recently, Ficarra and Sgroi initiated the study of v-numbers of powers of graded ideals. They proved that for a graded ideal $I$ in a polynomial ring $S$ , $v (I^{k})$ is a li…

math.AC2024

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 $d$ -compatible map for the pairs of a complete graph and an arbitrary grap…

Regularity of two classes of Cohen-Macaulay binomial edge ideals

Square-free powers of Cohen-Macaulay forests, cycles, and whiskered cycles

Binomial expansion and the v-number

On the path ideals of chordal graphs

On the v-number of binomial edge ideals of some classes of graphs

The slope of v-function and Waldschmidt constant

Asymptotic behaviour and stability index of v-numbers of graded ideals

On the Depth of Generalized Binomial Edge Ideals

Binomial expansion and the $v$ -number

On the $v$ -number of binomial edge ideals of some classes of graphs