Sheila Sundaram

collaborators

3 papers

math.CO2025

Segre powers of posets preserve EL-shellability

Yifei Li, Sheila Sundaram

For a bounded and graded poset $P$ , we show that if $P$ is EL-shellable, then so is its $t$ -fold Segre power $P^{(t)} = P \circ \dots \circ P$ ( $t$ factors), as defined by BjÃ¶rner a…

math.CO2025

Homology of Segre powers of Boolean and subspace lattices

Yifei Li, Sheila Sundaram

Segre products of posets were defined by BjÃ¶rner and Welker (2005). We investigate the homology representations of the $t$ -fold Segre power $B_{n}^{(t)}$ of the Boolean lattice $B_n…

math.CO2024

Topology of Cut Complexes II

Margaret Bayer, Mark Denker, Marija JeliÄ MilutinoviÄ +2

We continue the study of the $k$ -cut complex $I^_{k} (G)$ of a graph $G$ initiated in the paper of Bayer, Denker, JeliÄ MilutinoviÄ, Rowlands, Sundaram and Xue [Topology of cut comp…