Jin Guo

collaborators

3 papers

math.AC2020

The Cohen-Macaulay Property of $f$ -ideals

A-Ming Liu, Jin Guo, Tongsuo Wu

For positive integers $d < n$ , let $[n]_{d} = {A \in 2^{[n]} ∣ ∣ A ∣ = d}$ where $[n] =: {1, 2, \dots, n}$ . For a pure $f$ -simplicial complex $Δ$ such that $dim (Δ) = dim (Δ^{c})$ an…

math.CO2016

Edgewise strongly shellable clutters

Jin Guo, Yi-Huang Shen, Tongsuo Wu

When $C$ is a chordal clutter in the sense of Woodroofe or Emtander, we show that the complement clutter is edgewise strongly shellable. When $C$ is indeed a fi…

math.CO2016

Strong shellability of simplicial complexes

Jin Guo, Yi-Huang Shen, Tongsuo Wu

Imposing a strong condition on the linear order of shellable complexes, we introduce strong shellability. Basic properties, including the existence of dimension-decreasing strong s…

The Cohen-Macaulay Property of f-ideals

Edgewise strongly shellable clutters

Strong shellability of simplicial complexes

The Cohen-Macaulay Property of $f$ -ideals