### Abstract

Assign positive integer weights to the edges of a hypergraph in such a way that summing up the weights of the edges through a point yields distinct integers for different points. In this note we give a lower bound for the maximal edgeweight in case the hypergraph is uniform and regular, i.e. it is a 1-design. If the hypergraph is the dual of a 2-(v,k,¿) design then this bound specializes to . In particular for a projective plane this number is at least .

Original language | English |
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Pages (from-to) | 339-343 |

Number of pages | 5 |

Journal | Discrete Mathematics |

Volume | 131 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - 1994 |

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## Cite this

Blokhuis, A., & Szönyi, T. (1994). Irregular weighting of 1-designs.

*Discrete Mathematics*,*131*(1-3), 339-343. https://doi.org/10.1016/0012-365X(94)90395-6