S. Selvaraja

collaborators

4 papers

math.AC2026

Powers of Alexander Duals of Stanley-Reisner Ideals of Chessboard Complexes

Arka Ghosh, S. Selvaraja

Let $Δ_{m, n}$ be the chessboard complex, and let $J_{m, n}$ be the Stanley-Reisner ideal of its Alexander dual. We study the symbolic and ordinary powers of $J_{m, n}$ , focusing on t…

math.CO2026

Shellability in Clique-Free Complexes of Graphs

Rakesh Ghosh, S Selvaraja

We study combinatorial and algebraic properties of $t$ -clique-free complexes, a family of simplicial complexes associated with finite simple graphs that generalize the classical in…

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…

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.…