Regular Map (Graph Theory)
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a regular map M is a symmetric tessellation of a closed surface. More precisely, M is a 2-cell decomposition of a closed compact 2-manifold whose automorphism group acts transitively on the vertex-edge-face pairs. Regular maps are, in a sense, topological generalizations of convex polyhedra and many polyhedra can be viewed as regular maps. The theory of maps and their classification is related to the theory of Riemann surfaces, hyperbolic geometry, and...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a regular map M is a symmetric tessellation of a closed surface. More precisely, M is a 2-cell decomposition of a closed compact 2-manifold whose automorphism group acts transitively on the vertex-edge-face pairs. Regular maps are, in a sense, topological generalizations of convex polyhedra and many polyhedra can be viewed as regular maps. The theory of maps and their classification is related to the theory of Riemann surfaces, hyperbolic geometry, and Galois theory. Regular maps are classified according to either: the genus and orientability of the supporting surface, the underlying graph, or the automorphism group.
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