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.CO2021

Partitions of the complete hypergraph $K_{6}^{3}$ and a determinant like function

Steven R. Lippold, Mihai D. Staic

In this paper we introduce a determinant-like map $d e t^{S^{3}}$ and study some of its properties. For this we define a graded vector space $Λ_{V}^{S^{3}}$ that has similar properties wit…

math.CO2021

Edge partitions of the complete graph and a determinant like function

Steven R. Lippold, Mihai D. Staic, Alin Stancu

In this paper we prove the case $d im (V_{3}) = 3$ of a conjecture about the exterior operad $Λ_{V_{d}}^{S^{2}}$ . For this we introduce a collection of natural involutions on the set of homo…

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

Partitions of the complete hypergraph K63​ and a determinant like function

Edge partitions of the complete graph and a determinant like function

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

Partitions of the complete hypergraph $K_{6}^{3}$ and a determinant like function