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- W2016069483 abstract "Partial cubes are, by definition, isometric subgraphs of hypercubes. Cubic inflation is an operation that transforms a 2-cell embedded graph G into a cubic graph embedded in the same surface; its result can be described as the dual of the barycentric subdivision of G. New concepts of mirror and pre-mirror graphs are also introduced. They give rise to a characterization of Platonic graphs (i) as pre-mirror graphs and (ii) as planar graphs of minimum degree at least three whose cubic inflation is a mirror graph. Using cubic inflation we find five new prime cubic partial cubes." @default.
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- W2016069483 date "2004-01-01" @default.
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- W2016069483 title "Cubic inflation, mirror graphs, regular maps, and partial cubes" @default.
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- W2016069483 doi "https://doi.org/10.1016/j.ejc.2003.09.004" @default.
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