The Catalan Threshold Arrangement
Department of Mathematics Education
Kangwon National University
The Republic of Korea
The Catalan threshold arrangement is a hyperplane arrangement defined
by xi + xj = 0,1,-1.
Using the finite field method, we obtain the number
of regions and the characteristic polynomial of the Catalan threshold
arrangement. We also give the exponential generating function for the
characteristic polynomial of the Catalan threshold arrangement.
Full version: pdf,
(Concerned with sequences
Received July 27 2016; revised version received December 22 2016.
Published in Journal of Integer Sequences, December 23 2016.
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