Arka Ghosh

activity

20242026

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math.AC2025

Linear resolution of connected graph ideals and their powers

Arka Ghosh, S Selvaraja

For a finite simple graph $G$ and an integer $r \geq 1$ , the $r$ -connected ideal $I_{r} (G)$ is the squarefree monomial ideal generated by the vertex sets of connected induced subgraph…

cs.LO2025

Computability of Equivariant Gröbner bases

Arka Ghosh, Aliaume Lopez

Let $K$ be a field, $X$ be an infinite set (of indeterminates), and $G$ be a group acting on $X$ . An ideal in the polynomial ring $\mathbb{K}…

math.CO2025

Shellability of Higher Independence Complexes of Graphs

Arka Ghosh, S Selvaraja

This paper investigates the shellability of $r$ -independence complexes $I_{r} (G)$ , a generalization of classical independence complexes introduced by Paolini and Salvetti.…