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Martin Winter: Capturing Polytopal Symmetries in the Edge-Graph

Time: Wed 2021-03-24 10.15 - 11.15

Location: Zoom meeting ID: 654 5562 3260

Participating: Martin Winter (TU Chemnitz)

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Abstract: In general dimension the edge-graph of a polytope carries very little
information about the polytope itself.
For example, the edge-graph can have many more symmetries than the
polytope or any realization thereof.
Using techniques from spectral graph theory and convex geometry we
show that the edge-graph of every polytope
can be colored so that every combinatorial symmetry of the colored
edge-graph extends to a geometric symmetry of the polytope.

Zoom link:
Zoom meeting ID: 654 5562 3260