J. Gerhard

activity

20152017

most citedSet partition patterns and statistics

1 citations · 2 across the 2 of their papers we have counts for

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Showing 2015Show all

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math.CO2015

The Smith and Critical Groups of the Square Rook's Graph and its Complement

Joshua E. Ducey, Jonathan Gerhard, Noah Watson

Let $R_{n}$ denote the graph with vertex set consisting of the squares of an $n \times n$ grid, with two squares of the grid adjacent when they lie in the same row or column. This…

math.CO2015★ 1 cited

Set partition patterns and statistics

Samantha Dahlberg, Robert Dorward, Jonathan Gerhard +4

A set partition $σ$ of $[n] = {1, \dots, n}$ contains another set partition $π$ if restricting $σ$ to some $S \subseteq [n]$ and then standardizing the result gives $π$ . Otherwise we s…