8 citations · 40 across the 23 of their papers we have counts for
4 papers · 1 filter
Boolean graphs are unmixed and vertex decomposable
A-Ming Liu, Tongsuo Wu
For each Boolean graph , it is proved that both and its complement graph are vertex decomposable. It is also proved that is an unmixed graph, thus…
Minimal free resolution of a graded ideal with linear quotients
A-Ming Liu, Tongsuo Wu
Let be a graded ideal of generated by homogeneous polynomials of a same degree , and assume that has linear quotients. In this note, we use Horseshoe…
Edgewise strongly shellable clutters
Jin Guo, Yi-Huang Shen, Tongsuo Wu
When is a chordal clutter in the sense of Woodroofe or Emtander, we show that the complement clutter is edgewise strongly shellable. When is indeed a fi…
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…