Sui Huang - Academia.edu (original) (raw)
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Papers by Sui Huang
Discrete Applied Mathematics, 2008
Discrete & Computational Geometry, 2006
Inspired by Bárány's colourful Carathéodory theorem [Bár82], we introduce a colourful generalizat... more Inspired by Bárány's colourful Carathéodory theorem [Bár82], we introduce a colourful generalization of Liu's simplicial depth . We prove a parity property and conjecture that the minimum colourful simplicial depth of any core point in any ddimensional configuration is d 2 + 1 and that the maximum is d d+1 + 1. We exhibit configurations attaining each of these depths, and apply our results to the problem of bounding monochrome (non-colourful) simplicial depth.
Discrete Applied Mathematics, 2008
Discrete & Computational Geometry, 2006
Inspired by Bárány's colourful Carathéodory theorem [Bár82], we introduce a colourful generalizat... more Inspired by Bárány's colourful Carathéodory theorem [Bár82], we introduce a colourful generalization of Liu's simplicial depth . We prove a parity property and conjecture that the minimum colourful simplicial depth of any core point in any ddimensional configuration is d 2 + 1 and that the maximum is d d+1 + 1. We exhibit configurations attaining each of these depths, and apply our results to the problem of bounding monochrome (non-colourful) simplicial depth.