S. Madani

collaborators

4 papers

math.AC2026

Prime and Cohen--Macaulay binomial ideals with linear resolution

Takayuki Hibi, Ayesha Asloob Qureshi, Sara Saeedi Madani

Let $I$ be an ideal of a polynomial ring $S$ over a field $K$ for which $I$ is minimally generated by at least two quadratic binomials. Suppose that (i) $I$ is prime, (ii) $S / I$ is…

math.AC2025

Minimal primes and radicality of ideals generated by adjacent 2-minors

Takayuki Hibi, Francesco Navarra, Ayesha Asloob Qureshi +1

In this paper, we provide a complete description of the minimal primes of ideals generated by adjacent $2$ -minors, in terms of the so-called admissible sets and associated lattice…

math.AC2025

Binomial edge ideals of Cameron-Walker graphs

Takayuki Hibi, Sara Saeedi Madani

Let $G$ be a Cameron--Walker graph on $n$ vertices and $J_{G}$ the binomial edge ideal of $G$ . Let $S$ denote the polynomial ring in $2 n$ variables over a field. It is shown that the…

math.AC2025

Complementary edge ideals

Takayuki Hibi, Ayesha Asloob Qureshi, Sara Saeedi Madani

In this paper, we introduce the concept of complementary edge ideals of graphs and study their algebraic properties and invariants.