Abstract
A 3-uniform hypergraph is called a minimum 3-tree, if for any 3-coloring of its vertex set there is a heterochromatic edge and the hypergraph has the minimum possible number of edges. Here we show that the number of edges in such 3-tree is for any number of vertices n ≡ 3, 4 (mod 6). © 1999 John Wiley & Sons, Inc. J Graph Theory 30: 157-166, 1999
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