8 citations · 26 across the 8 of their papers we have counts for
8 papers
An infinite family of strongly unextendible mutually unbiased bases in
Jonathan Jedwab, Lily Yen
A set of mutually unbiased bases (MUBs) in (for ) comprises vectors in , partitioned into orthogonal bases for such…
On the length of integers in telescopers for proper hypergeometric terms
Manuel Kauers, Lily Yen
We show that the number of digits in the integers of a creative telescoping relation of expected minimal order for a bivariate proper hypergeometric term has essentially cubic grow…
Constructing Skolem sequences via generating trees
Sophie Burrill, Lily Yen
A Skolem sequence is a linear arrangement of the multiset, {1, 1, 2, 2, ..., n, n} such that if r in [n] appears in positions i and j, then |i-j| = r. We first translate the proble…
Crossings and Nestings for Arc-Coloured Permutations
Lily Yen
The equidistribution of many crossing and nesting statistics exists in several combinatorial objects like matchings, set partitions, permutations, and embedded labelled graphs. The…
A Bijection for Crossings and Nestings
Lily Yen
For a subclass of matchings, set partitions, and permutations, we describe a direct bijection involving only arc annotated diagrams that not only interchanges maximum nesting and c…
A generating tree approach to k-nonnesting partitions and permutations
Sophie Burrill, Sergi Elizalde, Marni Mishna +1
We describe a generating tree approach to the enumeration and exhaustive generation of k-nonnesting set partitions and permutations. Unlike previous work in the literature using th…
Set partitions with no m-nesting
Marni Mishna, Lily Yen
A partition on [n] has an m-nesting if there exists i_1 < i_2 < ... < i_m < j_m < j_{m-1} < ... < j_1, where i_l and j_l are in the same block for all 1 <= l <= m. We use generatin…
Counting pairs of lattice paths by intersections
Ira Gessel, Wayne Goddard, Walter Shur +2
On an lattice rectangle, we first consider walks that begin at the SW corner, proceed with unit steps in either of the directions E or N, and terminate at the NE co…