Steven R. Lippold

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20212024

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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.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…

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

Permutation-Like Matrices

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