10 citations · 21 across the 16 of their papers we have counts for
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math.CO2018
Graded Betti numbers of balanced simplicial complexes
Martina Juhnke-Kubitzke, Lorenzo Venturello
We prove upper bounds for the graded Betti numbers of Stanley-Reisner rings of balanced simplicial complexes. Along the way we show bounds for Cohen-Macaulay graded rings , wh…
math.CO2018
Balanced triangulations on few vertices and an implementation of cross-flips
Lorenzo Venturello
A -dimensional simplicial complex is balanced if the underlying graph is -colorable. We present an implementation of cross-flips, a set of local moves introduced by Izmes…
math.CO2018
Balanced shellings and moves on balanced manifolds
Martina Juhnke-Kubitzke, Lorenzo Venturello
A classical result by Pachner states that two -dimensional combinatorial manifolds with boundary are PL homeomorphic if and only they can be connected by a sequence of shellings…