Paramhans Kushwaha

collaborators

2 papers

math.AC2025

Hilbert Coefficients and Regularity of Binomial Edge Ideals

Kanoy Kumar Das, Rajiv Kumar, Paramhans Kushwaha

Let $G$ be a simple graph on $n$ vertices, and let $J_{G}$ denotes the corresponding binomial edge ideal in $S = K [x_{1}, \dots, x_{n}, y_{1}, \dots, y_{n}]$ , where $K$ is a fie…

math.AC2025

Application of Betti Splittings to the Regularity of Binomial Edge Ideals

Rajiv Kumar, Paramhans Kushwaha

In this paper, we use Betti splittings of binomial edge ideals to establish improved upper and lower bounds for their regularity in the case of trees. As a consequence, we determin…