Decomposition of the complete hypergraph into delta-systems I
β Scribed by A.F Mouyart; F Sterboul
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 723 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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## Abstract A short proof is given of the impossibility of decomposing the complete graph on __n__ vertices into __n__β2 or fewer complete bipartite graphs.
## Abstract Graham and Pollak [3] proved that __n__ β1 is the minimum number of edgeβdisjoint complete bipartite subgraphs into which the edges of __K__~__n__~ can be decomposed. Using a linear algebraic technique, Tverberg [2] gives a different proof of that result. We apply his technique to show