Authors: Jojić, Duško
Vrećica, Siniša
Živaljević, Rade 
Title: Multiple chessboard complexes and the colored Tverberg problem
Journal: Journal of Combinatorial Theory. Series A
Volume: 145
First page: 400
Last page: 425
Issue Date: 1-Jan-2017
Rank: M21
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2016.08.008
Abstract: 
Following Karaguezian, Reiner and Wachs we study the connectivity degree and shellability of multiple chessboard complexes. Our central new results provide sharp connectivity bounds relevant to applications in Tverberg type problems where multiple points of the same color are permitted. The results presented in this paper also serve as a foundation for the new results of Tverberg–van Kampen–Flores type, as described in the sequel to this paper.
Keywords: Multiple chessboard complexes | Shellable complexes | Tverberg theorem | van-Kampen–Flores theorem
Publisher: Elsevier
Project: Topology, geometry and global analysis on manifolds and discrete structures 

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