关于完备超图的c度h—超星HS)分解

DECOMPOSITION OF THE COMPLETE HYPERGRAPH INTO THE C-DEGREE H-HYPERSTAR

本文论证了超图可c度h-HS分解的存在性条件,同时,给出了超图K_n^3可4度3-HS分解存在的充要条件,部分地解决了文献〔3〕中遗留的问题。

This pater is concerned with the existing condition on decomposition of hypergraph K_n^h, n, …n into edge - disjoint elementary c - degree h - HS, and has given a necessary and sufficient condition thathypergraph K can decompose into 4-degree 3-HS.