Full bibliography
On Tight 6-Cycle Decompositions of Complete 3-Uniform Multi-Hypergraphs
Resource type
Authors/contributors
- Bandell, Jessica A. (Author)
- Bunge, Ryan C. (Author)
- Darrow, Brian D. (Author)
- El-Zanati, Saad I. (Author)
- Mountain, Claire E. (Author)
- Neiburger, Levi (Author)
Title
On Tight 6-Cycle Decompositions of Complete 3-Uniform Multi-Hypergraphs
Abstract
The λ-fold complete 3-uniform hypergraph on v vertices has the edge multiset consisting of λ copies of each 3-element subset of its vertex set. A tight 6-cycle, denoted TC6, is a hypergraph with vertex set {a,b,c,d,e,f} and edge set {{a,b,c},{b,c,d},{c,d,e},{d,e,f},{e,f,a},{f,a,b}}. We give necessary and sufficient conditions on v for the existence of a TC6-decomposition of the λ-fold complete 3-uniform hypergraph on v vertices for any positive integer λ. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.
Proceedings Title
Springer Proceedings in Mathematics and Statistics
Conference Name
Springer Proceedings in Mathematics and Statistics
Publisher
Springer
Date
2025
Volume
489
Pages
107-121
ISBN
978-3-031-83863-7
Citation Key
bandellTight6CycleDecompositions2025
Language
English
Library Catalog
Scopus
Extra
Journal Abbreviation: Springer Proc. Math. Stat.
Citation
Bandell, J. A., Bunge, R. C., Darrow, B. D., El-Zanati, S. I., Mountain, C. E., & Neiburger, L. (2025). On Tight 6-Cycle Decompositions of Complete 3-Uniform Multi-Hypergraphs. Springer Proceedings in Mathematics and Statistics, 489, 107–121. https://doi.org/10.1007/978-3-031-83864-4_9
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