Irregular weighting of 1-designs

A. Blokhuis, T. Szönyi

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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 languageEnglish
Pages (from-to)339-343
Number of pages5
JournalDiscrete Mathematics
Volume131
Issue number1-3
DOIs
Publication statusPublished - 1994

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