14 citations · 56 across the 17 of their papers we have counts for
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math.CO2016★ 8 cited
A counterexample to the extension space conjecture for realizable oriented matroids
Gaku Liu
The extension space conjecture of oriented matroid theory states that the space of all one-element, non-loop, non-coloop extensions of a realizable oriented matroid of rank has…
math.CO2016★ 1 cited
A zonotope and a product of two simplices with disconnected flip graphs
Gaku Liu
We give an example of a three-dimensional zonotope whose set of tight zonotopal tilings is not connected by flips. Using this, we show that the set of triangulations of $Δ^4 \times…
math.CO2016★ 4 cited
Flip-connectivity of triangulations of the product of a tetrahedron and simplex
Gaku Liu
A flip is a minimal move between two triangulations of a polytope. An open question is whether any two triangulations of the product of two simplices can be connected through a ser…