• Corpus ID: 204743937

The Homogenized Linial Arrangement and Genocchi Numbers.

@article{Lazar2019TheHL,
  title={The Homogenized Linial Arrangement and Genocchi Numbers.},
  author={Alexander Lazar and Michelle L. Wachs},
  journal={arXiv: Combinatorics},
  year={2019}
}
We study the intersection lattice of a hyperplane arrangement recently introduced by Hetyei who showed that the number of regions of the arrangement is a median Genocchi number. Using a different method, we refine Hetyei's result by providing a combinatorial interpretation of the coefficients of the characteristic polynomial of the intersection lattice of this arrangement. We also show that the Mobius invariant of the intersection lattice is a (nonmedian) Genocchi number. The Genocchi numbers… 
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