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- Mordechai Novick
- Discrete & Computational Geometry
- 2012

- Mordechai Novick
- Discrete & Computational Geometry
- 2012

Given a family F of n pairwise disjoint compact convex sets in the plane with non-empty interiors, let T (k) denote the property that every subfamily of F of size k has a line transversal, and T the property that the entire family has a line transversal. We illustrate the applicability of allowable interval sequences to problems involving line transversals… (More)

- Mordechai Novick
- Discrete & Computational Geometry
- 2015

- Mordechai Novick
- Electr. J. Comb.
- 2010

In this paper we provide a bijective proof of a theorem of Garsia and Gessel describing the generating function of the major index over the set of all permutations of [n] = {1, ..., n} which are shuffles of given disjoint ordered sequences π1, ..., πk whose union is [n]. The proof is based on a result (an “insertion lemma”) of Haglund, Loehr, and Remmel… (More)

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