Gabe Cunningham, Daniel Pellicer
Published 2016-08-29Version 1
We present 35 open problems on combinatorial, geometric and algebraic aspects of k-orbit abstract polytopes. We also present a theory of rooted polytopes that has appeared implicitly in previous work but has not been formalized before.
Distinct Distances: Open Problems and Current Bounds
Results and open problems in matchings in regular graphs
All polytopes are coset geometries: characterizing automorphism groups of k-orbit abstract polytopes
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