Sara Saeedi Madani

activity

20242026

collaborators

3 papers

math.AC2026

Castelnuovo-Mumford regularity of generalized binomial edge ideals of graphs

Dariush Kiani, Sara Saeedi Madani, Guangjun Zhu

In this paper, we mainly study the Castelnuovo-Mumford regularity of the generalized binomial edge ideals of graphs. We show that this number can be any integer number from $2$ to…

math.AC2025

Complementary edge ideals

Antonino Ficarra, Somayeh Moradi

Let $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring over a field $K$ and $I \subset S$ be a squarefree monomial ideal generated in degree $n - 2$ . Motivated by the remarkable behavior of…

math.CO2024

Combinatorial upper bounds for the smallest eigenvalue of a graph

Aryan Esmailpour, Sara Saeedi Madani, Dariush Kiani

Let $G$ be a graph, and let $I^» (G)$ denote the smallest eigenvalue of $G$ . First, we provide an upper bound for $I^» (G)$ based on induced bipartite subgraphs of $G$ . Consequently, w…