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http://dx.doi.org/10.4134/JKMS.j190161

ERDŐS-KO-RADO TYPE THEOREMS FOR SIMPLICIAL COMPLEXES VIA ALGEBRAIC SHIFTING  

Kim, Younjin (Institute of Mathematical Sciences Ewha Womans University)
Publication Information
Journal of the Korean Mathematical Society / v.57, no.6, 2020 , pp. 1323-1333 More about this Journal
Abstract
In 2009, Borg [2] suggested a conjecture concerning the size of a t-intersecting k-uniform family of faces of an arbitrary simplicial complex. In this paper, we give a strengthening of Borg's conjecture for shifted simplicial complexes using algebraic shifting.
Keywords
Erdos-Ko-Rado theorem; simplicial complexes; algebraic shiftin;
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