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Binary set systems and totally balanced hypergraphs

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Academic year: 2021

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Figure 1: Two runs of Algorithm 1 on the same graph, with the same edge xy chosen. In both cases, as x is the only neighbor of y, y will be suppressed at Line 14 of the for loop.
Figure 3: The binary hypergraph obtained by the sequence of mixed trees of Figure 2 represented as a lattice.
Figure 4: A totally balanced hypergraph, subhypergraph of the binary one of Figure 3, and a sequence of mixed trees which constructs this hypergraph.

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