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Small octahedral systems
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Small octahedral systems

Abstract

We consider set systems that satisfy a certain octahedral parity property. Such systems arise when studying the colourful simplices formed by configurations of points of in Rd; configurations of low colourful simplicial depth correspond to systems with small cardinality. This construction can be used to find lower bounds computationally for the minimum colourful simplicial depth of a configuration, and, for a relaxed version of colourful depth, …

Authors

Custard G; Deza A; Stephen T; Xie F

Publication Date

December 1, 2011

Conference proceedings

Proceedings of the 23rd Annual Canadian Conference on Computational Geometry Cccg 2011