摘要
Ⅰ. BACKGROUND AND NOTATIONS In this paper all graphs will be finite, undirected, and have no loops or multiple edges, namely, simple graphs. E. Gyovi put the following question: Is there a (the smallest) natural number f(s,t) such that the vertex set of each graph of connectivity being f (s, t) at least has a decomposition into sets which would induce subgraphs of connectivity being