A note on hypergraphs with the Helly-property |
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Authors: | A. Gyárfás |
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Affiliation: | Computer and Automation Institute, Hungarian Academy of Sciences, H-1502 Budapest, XI Kendeuteen 13–17, Hungary |
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Abstract: | Let H be a hypergraph and t a natural number. The sets which can be written and the union of different edges of H form a new hypergraph which is denoted by H′. Let us suppose that H has the Helly property and we want to state something similar for H′. We prove a conjecture of C, Berge and two negative results. |
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