• Corpus ID: 118676690

On the Homogenized Linial Arrangement: Intersection Lattice and Genocchi Numbers.

@article{Lazar2018OnTH,
  title={On the Homogenized Linial Arrangement: Intersection Lattice and Genocchi Numbers.},
  author={Alexander Lazar and Michelle L. Wachs},
  journal={arXiv: Combinatorics},
  year={2018}
}
Hetyei recently introduced a hyperplane arrangement (called the homogenized Linial arrangement) and used the finite field method of Athanasiadis to show that its number of regions is a median Genocchi number. These numbers count a class of permutations known as Dumont derangements. Here, we take a different approach, which makes direct use of Zaslavsky's formula relating the intersection lattice of this arrangement to the number of regions. We refine Hetyei's result by obtaining a combinatorial… 
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