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Self-Polar Polytopes by Jensen, Alathea is a scholarly article available to read on EtoBox.

What is Self-Polar Polytopes about?

Self-polar polytopes are convex polytopes that are equal to an orthogonal transformation of their polar sets. These polytopes were first studied by Lov\'{a}sz as a means of establishing the chromatic number of distance graphs on spheres, and they can also be used to construct triangle-free graphs with arbitrarily high chromatic number. We investigate the existence, construction, facial structure, and practical applications of self-polar polytopes, as well as the place of these polytopes within the broader set of self-dual polytopes.

Author

Jensen, Alathea

Published

2019

Language

EN