Mathematics
(Aug 2020)
Edge Balanced 3-Uniform Hypergraph Designs
Paola Bonacini,
Mario Gionfriddo,
Lucia Marino
Affiliations
Paola Bonacini
Department of Mathematics and Computer Science, University of Catania, Viale Andrea Doria 6, 95125 Catania, Italy
Mario Gionfriddo
Department of Mathematics and Computer Science, University of Catania, Viale Andrea Doria 6, 95125 Catania, Italy
Lucia Marino
Department of Mathematics and Computer Science, University of Catania, Viale Andrea Doria 6, 95125 Catania, Italy
DOI
https://doi.org/10.3390/math8081353
Journal volume & issue
Vol. 8,
no. 8
p.
1353
Abstract
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In this paper, we completely determine the spectrum of edge balanced H-designs, where H is a 3-uniform hypergraph with 2 or 3 edges, such that H has strong chromatic number χs(H)=3.
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