Matthew J. Fyfe

collaborators

2 papers

math.CO2024

Twin-star hypothesis and cycle-free $d$ -partitions of $K_{2 d}$

Matthew J. Fyfe, Steven R. Lippold, Mihai D. Staic +2

In this paper we study an equivalence relation defined on the set of cycle-free $d$ -partitions of the complete graph $K_{2 d}$ . We discuss a conjecture which states that this equiva…

math.RA2023

Matrices whose field of values is inscribed in a polygon

Matthew J. Fyfe, Yesenia Hernandez, Pietro Paparella +1

In this work, it is shown that if $A$ is an $n$ -by- $n$ convexoid matrix (i.e., its field of values coincides with the convex hull of its eigenvalues), then the field of any $(n - 1)$ …

Twin-star hypothesis and cycle-free d-partitions of K2d​

Matrices whose field of values is inscribed in a polygon

Twin-star hypothesis and cycle-free $d$ -partitions of $K_{2 d}$