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CORR
2011
Springer

Geodesics in CAT(0) Cubical Complexes

8 years 6 months ago
Geodesics in CAT(0) Cubical Complexes
We describe an algorithm to compute the geodesics in an arbitrary CAT(0) cubical complex. A key tool is a correspondence between cubical complexes of global non-positive curvature and posets with inconsistent pairs. This correspondence also gives an explicit realization of such a complex as the state complex of a reconfigurable system, and a way to embed any interval in the integer lattice cubing of its dimension.
Federico Ardila, Megan Owen, Seth Sullivant
Added 13 May 2011
Updated 13 May 2011
Type Journal
Year 2011
Where CORR
Authors Federico Ardila, Megan Owen, Seth Sullivant
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