Abstract:Classical geometric and topological operations on polyhedra, maps and polytopes often give rise to structures with the same symmetry group as the original one, but with more flags. In this paper we introduce the notion of voltage operations on maniplexes, as a way to generalize such operations. Our technique provides a way to study classical operations in a graph theory setting. In fact, voltage operations can be applied to symmetry type graphs, and more generally to n-valent properly n-edge colored graphs. We… Show more
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