SelectedWorks - Michael W. Schroeder

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Selected Works of Michael W. Schroeder

Associate Professor and Director of Undergraduate Studies, Department of Mathematics, Marshall University

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About Michael W. Schroeder

Present	Associate Professor and Director of Undergraduate Studies, Marshall University ‐ Department of Mathematics
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Physical Sciences and Mathematics, Mathematics, and Algebra

On Monochromatic Pairs with Nondecreasing Diameters

Mathematics Faculty Research (2019)

Adam O'Neal and Michael W. Schroeder

Let n m r t be positive integers and Δ : [n] → [r]. We say Δ is (m, r, ...

On the Existence of Partitioned Incomplete Latin Squares with Five ...

Mathematics Faculty Research (2019)

Jaromy Kuhl, Donald McGinn and Michael W. Schroeder

Let a, b, c, d, e be positive integers such that a ≤ b ≤ c ≤ d ≤ e. ...

Circulant Matrices and Mathematical Juggling

Mathematics Faculty Research (2018)

Richard A. Brualdi and Michael W. Schroeder

Circulants form a well-studied and important class of matrices, and they arise in many algebraic and combinatorial contexts, in particular ...

A bijection on classes enumerated by the Schröder numbers

Mathematics Faculty Research (2017)

Michael W. Schroeder and Rebecca Smith

We consider a sorting machine consisting of two stacks in series where the first stack has the added restriction that ...

Completing partial latin squares with one nonempty row, column, and ...

Mathematics Faculty Research (2016)

Jaromy Kuhl and Michael W. Schroeder

Let r,c,s ∈{1,2,…,n} and let PP be a partial latin square of order n in which each nonempty cell lies ...

ϕ-symmetric Hamilton cycle decompositions of graphs

Mathematics Faculty Research (2015)

Michael W. Schroeder

The existence of symmetric Hamilton cycle decompositions for complete graphs and cocktail party graphs has been defined and explored in ...

On Hamilton cycle decompositions of r-uniform r-partite hypergraphs

Mathematics Faculty Research (2014)

Michael W. Schroeder

The definition of edge-adjacency can be generalized in multiple ways to hypergraphs, and extended from that, cycles and Hamilton cycles. ...

Patterns of alternating sign matrices

Mathematics Faculty Research (2013)

Richard A. Brualdi, Kathleen P. Kiernan, Seth A. Meyer and Michael W. Schroeder

We initiate a study of the zero–nonzero patterns of n × n alternating sign matrices. We characterize the row (column) ...

Cyclic matching sequencibility of graphs

Mathematics Faculty Research (2012)

Richard A. Brualdi, Kathleen P. Kiernan, Seth A. Meyer and Michael W. Schroeder

We define the cyclic matching sequencibility of a graph to be the largest integer d such that there exists a ...

On the t-term rank of a matrix

Mathematics Faculty Research (2012)

Richard A. Brualdi, Kathleen P. Kiernan, Seth A. Meyer and Michael W. Schroeder

For t a positive integer, the t-term rank of a (0,1)-matrix A is defined to be the largest number of ...