Graduation Term
2021
Degree Name
Master of Science (MS)
Department
Department of Mathematics
Committee Chair
Saad I El-Zanati
Abstract
The complete 5-uniform hypergraph of order v has a set V of size v as its vertex setand the set of all 5-element subsets of V as its edge set. A delta-system with 3 edges in such a hypergraph has edge set fe1; e2; e3g such that ei \ ej = W for every i 6= j, where jWj is 1, 2, 3, or 4. We give necessary and sucient conditions for the existence of a decomposition of the complete 5-uniform hypergraph of order v into isomorphic copies of all possible delta-systems with 3-edges.
Access Type
Thesis-Open Access
Recommended Citation
Pedersen, Christopher Michael, "On 5-Uniform Delta Systems with 3 Edges" (2021). Theses and Dissertations. 1461.
https://ir.library.illinoisstate.edu/etd/1461
DOI
https://doi.org/10.30707/ETD2021.20211012065805462521.999964