activity
20202023
most citedCounting the parts divisible by k in all the partitions of n whose parts have multiplicity less than k

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.CO2023

Young tableau reconstruction via minors

William Q. Erickson, Daniel Herden, Jonathan Meddaugh +4

The tableau reconstruction problem, posed by Monks (2009), asks the following. Starting with a standard Young tableau , a 1-minor of is a tableau obtained by first deleting…

math.DS2023

Specification and -chaos in non-compact systems

Cordell Hammon, Jonathan Meddaugh, Jasmin Mohn +1

In this paper, we demonstrate conditions under which a Lindelöf dynamical system exhibits -chaos. In particular, if a system exhibits a generalized version of the specification…

math.CO2022

Klein cordial trees and odd cyclic cordial friendship graphs

William Q. Erickson, Daniel Herden, Jonathan Meddaugh +7

For a graph and an abelian group , a labeling of the vertices of induces a labeling of the edges via the sum of adjacent vertex labels. Hovey introduced the notion of an…

math.CO2022

Vertex-edge marking score of certain triangular lattices

Daniel Herden, Jonathan Meddaugh, Mark Sepanski +8

The vertex-edge marking game is played between two players on a graph, , with one player marking vertices and the other marking edges. The players want to minimize/maximiz…

math.CO2022

On the -hull number and infecting times of generalized Petersen graphs

Daniel Herden, Jonathan Meddaugh, Mark Sepanski +8

The -hull number of a graph is the minimum cardinality of an infecting set of vertices that will eventually infect the entire graph under the rule that uninfected nodes become…

math.CO2021

Partitions With Designated Summands Not Divisible by , , and Modulo , , and

Daniel Herden, Mark R. Sepanski, Jonathan Stanfill +4

Numerous congruences for partitions with designated summands have been proven since first being introduced and studied by Andrews, Lewis, and Lovejoy. This paper explicitly charact…

math.CO2020★ 1 cited

Counting the parts divisible by k in all the partitions of n whose parts have multiplicity less than k

Daniel Herden, Mark R. Sepanski, Jonathan Stanfill +7

Recent results by Andrews and Merca on the number of even parts in all partitions of n into distinct parts, a(n), were derived via generating functions. This paper extends these re…