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math.CO2009
The Graphicahedron
Gabriela Araujo-Pardo, Maria Del Rio-Francos, Mariana Lopez-Dudet +2
The paper describes a construction of abstract polytopes from Cayley graphs of symmetric groups. Given any connected graph G with p vertices and q edges, we associate with G a Cayl…
math.CO2009
Polytopes with groups of type PGL_2(q)
Dimitri Leemans, Egon Schulte
There exists just one regular polytope of rank larger than 3 whose full automorphism group is a projective general linear group PGL_2(q), for some prime-power q. This polytope is t…