9 citations · 12 across the 7 of their papers we have counts for
7 papers
A combinatorial model for lane merging
Viktoriya Bardenova, Erik Insko, Katie Johnson +1
A two lane road approaches a stoplight. The left lane merges into the right just past the intersection. Vehicles approach the intersection one at a time, with some drivers always c…
Tipsy cop and drunken robber: a variant of the cop and robber game on graphs
Pamela Harris, Erik Insko, Alicia Prieto-Langarica +2
Motivated by a biological scenario illustrated in the YouTube video \url{ https://www.youtube.com/watch?v=Z_mXDvZQ6dU} where a neutrophil chases a bacteria cell moving in random di…
A Variant on the Feline Josephus Problem
Shaun Sullivan, Erik Insko
In the Feline Josephus problem, soldiers stand in a circle, each having `lives'. Going around the circle, a life is taken from every th soldier; soldiers with 0 lives rem…
A Terrible Expansion of the Determinant
Erik Insko, Katie Johnson, Shaun Sullivan
From a transfer formula in multivariate finite operator calculus, comes an expansion for the determinant similar to Ryser's formula for the permanent. Although this one contains ma…
Ballot Paths Avoiding Depth Zero Patterns
Heinrich Niederhausen, Shaun Sullivan
In a paper by Sapounakis, Tasoulas, and Tsikouras \cite{stt}, the authors count the number of occurrences of patterns of length four in Dyck paths. In this paper we specify in one…
Pattern Avoiding Ballot Paths and Finite Operator Calculus
Heinrich Niederhausen, Shaun Sullivan
Counting pattern avoiding ballot paths begins with a careful analysis of the pattern. Not the length, but the characteristics of the pattern are responsible for the difficulties in…
Euler Coefficients and Restricted Dyck Paths
Heinrich Niederhausen, Shaun Sullivan
We consider the problem of enumerating Dyck paths staying weakly above the x-axis with a limit to the number of consecutive up steps, or a limit to the number of consecutive down s…