10 citations · 42 across the 22 of their papers we have counts for
7 papers · 1 filter
The partial derivative of ratios of Schur polynomials and applications to symplectic quotients
Hans-Christian Herbig, Daniel Herden, Harper Kolehmainen +1
We show that a ratio of Schur polynomials associated to partitions and such that has a negative partial derivative at any point where all variables…
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…
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…
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…
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…
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…
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…