activity
20162022
most citedMarkov models for the tipsy cop and robber game on graphs

1 citations · 1 across the 5 of their papers we have counts for

collaborators

12 papers

math.CO2022

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…

math.CO2021

On broadcast domination of directed graphs

Pamela E. Harris, Peter Hollander, Erik Insko

A dominating set of a graph is a set of vertices that contains at least one endpoint of every edge on the graph. The domination number of is the order of a minimum dominati…

math.CO20211 cited

Markov models for the tipsy cop and robber game on graphs

Viktoriya Bardenova, Vincent Ciarcia, Erik Insko

In this paper we analyze and model three open problems posed by Harris, Insko, Prieto-Langarica, Stoisavljevic, and Sullivan in 2020 concerning the tipsy cop and robber game on gra…

math.CO2020

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…

math.CO2020

A formula for enumerating permutations with a fixed pinnacle set

Alexander Diaz-Lopez, Pamela E. Harris, Isabella Huang +2

In 2017 Davis, Nelson, Petersen, and Tenner pioneered the study of pinnacle sets of permutations and asked whether there exists a class of operations, which applied to a permutatio…

math.AG2018

A formula for the cohomology and -class of a regular Hessenberg variety

Erik Insko, Julianna Tymoczko, Alexander Woo

Hessenberg varieties are subvarieties of the flag variety parametrized by a linear operator and a nondecreasing function . The family of Hessenberg varieties for regular