Three-graphs without two triples whose symmetric difference is contained in a third |
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Authors: | Béla Bollobás |
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Institution: | University of Cambridge, Cambridge, England |
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Abstract: | Katona conjectured that if a three-graph has 3n vertices and n3+1 triples, then there are two triples whose symmetric difference is contained in a third triple. This conjecture can be considered as a natural generalization of Turán's theorem 4] for edge graphs. The aim of this note is to prove this conjecture. |
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