3 papers
math.CO2023
The structure and normalized volume of Monge polytopes
William Q. Erickson, Jan Kretschmann
A matrix has the Monge property if for all and . Monge matrices play an important role in combinatorial optimization; for…
math.CO2023
Stanley decompositions of rings of invariants and certain highest weight Harish-Chandra modules
William Q. Erickson, Markus Hunziker
The first half of this paper is largely expository, wherein we present a systematic combinatorial approach to the theory of polynomial (semi)invariants and multilinear invariants o…
math.CO2023
The sum of all width-one tensors
William Q. Erickson, Jan Kretschmann
This paper generalizes a recent result by the authors concerning the sum of width-one matrices; in the present work, we consider width-one tensors of arbitrary dimensions. A tensor…