Existence of the map \(det^{S^3}\)

DOI10.1016/j.laa.2024.02.027arXiv2211.10375OpenAlexW4392303191MaRDI QIDQ6131323

Mihai D. Staic, Steven R. Lippold

Publication date: 5 April 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.10375

zbMATH Keywords

determinantBetti numberspartitions of hypergraphs

Mathematics Subject Classification ID

Hypergraphs (05C65) Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Exterior algebra, Grassmann algebras (15A75)

Cites Work

• Unnamed Item
• Dirac-type conditions for Hamiltonian paths and cycles in 3-uniform hypergraphs
• Hypergraph theory. An introduction
• Partitions of the complete hypergraph \(K_6^3\) and a determinant-like function
• Spanning surfaces in \(3\)-graphs
• Edge partitions of the complete graph and a determinant-like function
• On the existence of triangulated spheres in 3-graphs, and related problems
• Hamiltonian chains in hypergraphs
• A geometric application for the map
• Algorithms in invariant theory
• The exterior graded Swiss-Cheese Operad ΛVS2
• Existence of the detS2$det^{S^2}$ map

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