Steven R. Lippold

collaborators

3 papers

math.CO2024

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

Matthew J. Fyfe, Steven R. Lippold, Mihai D. Staic +1

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.RA2024

Permutation-Like Matrices

Steven Robert Lippold

Permutation Matrices are a well known class of matrices which encode the elements of the symmetric group on $d$ elements as a square $d \times d$ matrix. Motivated by [4], we define…

math.RA2023

The Algebra of $S^{2}$ -Upper Triangular Matrices

Steven R. Lippold

Based on work presented in [4], we define $S^{2}$ -Upper Triangular Matrices and $S^{2}$ -Lower Triangular Matrices, two special types of $d \times d (2 d - 1)$ matrices generalizing Upper an…

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

Permutation-Like Matrices

The Algebra of S2-Upper Triangular Matrices

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

The Algebra of $S^{2}$ -Upper Triangular Matrices