On \(3\)-Uniform Hypergraphic Sequences

Nirmala Achuthan1, N. R. Achuthan1, M. Simanihuruk1
1School of Mathematics and Statistics Curtin University of Technology G.P.0. Box U1987 PERTH W.A. 6001

Abstract

This paper discusses new Erdös-Gallai type necessary conditions for a sequence \(\prod\) of integers to be \(3\)-hypergraphic. Further, we show that some of the known necessary conditions for \(3\)-hypergraphic sequences are not sufficient.