8 citations · 57 across the 37 of their papers we have counts for
42 papers
Points of maximal traffic on a grid with obstruction
Juan Gil, Zhenni Liang, Ayodeji Odetola +1
For , we consider the set of lattice paths from to using only unit north and east steps. Given a point to be avoided, we ask: at which point …
Pattern-avoiding stabilized-interval-free permutations
Daniel Birmajer, Juan B. Gil, Jordan O. Tirrell +1
In this paper, we study pattern avoidance for stabilized-interval-free (SIF) permutations. These permutations are contained in the set of indecomposable permutations and in the set…
Pattern-avoiding even and odd Grassmannian permutations
Juan B. Gil, Jessica A. Tomasko
In this paper, we investigate pattern avoidance of parity restricted (even or odd) Grassmannian permutations for patterns of sizes 3 and 4. We use a combination of direct counting…
Enumeration of symmetric arc diagrams
Juan B. Gil, Luis E. Lopez
We give recurrence relations for the enumeration of symmetric elements within four classes of arc diagrams corresponding to certain involutions and set partitions whose blocks cont…
Restricted Grassmannian permutations
Juan B. Gil, Jessica A. Tomasko
A permutation is called Grassmannian if it has at most one descent. In this paper, we investigate pattern avoidance and parity restrictions for such permutations. As our main resul…
Fibonacci colored compositions and applications
Juan B. Gil, Jessica A. Tomasko
We study compositions whose parts are colored by subsequences of the Fibonacci numbers. We give explicit bijections between Fibonacci colored compositions and several combinatorial…