关于图的支撑树的两个内插性质

Tow Interpolation Theorems for the Family of Spanning Trees

证明了半径与直径相对于任一树状图的支撑树集具有内括性，推广了Ｆ．Ｈａｒａｒｙ等人“关于直径相对于２－连通图支撑材集具有内插性”的结论，讨论了可行树一半径集的问题，给出了一个正整数集为可行树－半径集的必要条件．

It is proved in this paper that both radius and diameter interpolate over the familyof spanning trees of a tree-like graph. Thus, a theorem of F. Harary, etc, is generalitied.It is also given necessary conditions for a set of positive integers to be a feasible tree-radiusset.