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math.AC2023
An Eisenbud-Goto type inequality for Stanley-Reisner ideals and simplicial complexes
Jaewoo Jung, Jinha Kim, Minki Kim +1
The Leray number of an abstract simplicial complex is the minimal integer where its induced subcomplexes have trivial homology groups in dimension or greater. We give an up…
math.CO2023
Transversal numbers of stacked spheres
Minho Cho, Jinha Kim
A stacked -sphere is the boundary complex of a stacked -ball, which is obtained by taking cone over a free -face repeatedly from a -simplex. A stacked spher…