Arvind Kumar

activity

20162023

most citedRegularity of powers of quadratic sequences with applications to binomial ideals

22 citations · 77 across the 21 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.AC2020★ 3 cited

Regularity of parity binomial edge ideals

Arvind Kumar

Let $G$ be a simple graph on $n$ vertices and $I_{G}$ denotes parity binomial edge ideal of $G$ in the polynomial ring $S = K [x_{1}, \dots, x_{n}, y_{1}, \dots, y_{n}] .$ …

math.AC2020

Subadditivity, strand connectivity and multigraded Betti numbers of monomial ideals

A. V. Jayanthan, Arvind Kumar

Let $R = K [x_{1}, \dots, x_{n}]$ and $I \subset R$ be a homogeneous ideal. In this article, we first obtain certain sufficient conditions for the subadditivity of $R / I$ . As a…

math.CO2020★ 12 cited

Binomial edge ideals and bounds for their regularity

Arvind Kumar

Let $G$ be a simple graph on $n$ vertices and $J_{G}$ denote the corresponding binomial edge ideal in $S = K [x_{1}, \dots, x_{n}, y_{1}, \dots, y_{n}] .$ We prove that the Castelnuovo-Mumfor…

math.AC2020

Properties of analogues of Frobenius powers of ideals

Subhajit Chanda, Arvind Kumar

Let $R = K [X_{1}, \dots, X_{n}]$ be a polynomial ring over a field $K$ . We introduce an endomorphism $F^{[m]} : R \to R$ and denote the image of an…