Jonathan Meddaugh

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20242026

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math.CO2024

Robinson-Schensted shapes arising from cycle decompositions

Martha Du Preez, William Q. Erickson, Jonathan Feigert +5

In the symmetric group $S_{n}$ , each element $σ$ has an associated cycle type $α$ , a partition of $n$ that identifies the conjugacy class of $σ$ . The Robinson-Schensted (RS) correspo…

math.CO2024

Limits and Periodicity of Metamour $2$ -Distance Graphs

William Q. Erickson, Daniel Herden, Jonathan Meddaugh +3

Given a finite simple graph $G$ , let $M (G)$ denote its 2-distance graph, in which two vertices are adjacent if and only if they have distance 2 in $G$ . In this paper…

math.CO2024

On Criticality and Additivity of the Pseudoachromatic Number Under Join

Jonathan Meddaugh, Mark R. Sepanski, Yegnanarayanan Venkataraman

A vertex coloring of a graph is said to be pseudocomplete if, for any two distinct colors, there exists at least one edge with those two colors as its end vertices. The pseudoachro…

Robinson-Schensted shapes arising from cycle decompositions

Limits and Periodicity of Metamour 2-Distance Graphs

On Criticality and Additivity of the Pseudoachromatic Number Under Join

Limits and Periodicity of Metamour $2$ -Distance Graphs