The Catalan Threshold Arrangement

Seunghyun Seo
2017 23 11 Article 17.1.1 Journal of Integer Sequences   unpublished
The Catalan threshold arrangement is a hyperplane arrangement defined by x i + x j = 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.
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