泛圈性、泛连通性和哈密尔顿性的一些重要结果的统一及改进

The Progress on Panconnected Graphs

设ｘ，ｙ为满足ｄ（ｘ，ｙ）= ２的任意两点，研究了ｄ（ｘ）＋ｄ（ｙ）≥ｎ＋１条件下的ｎ阶图Ｇ的泛连通性，改进或推广了文献［１～３］的结果。

The author studies the panconnected graphs under the condition that d (x ) + d (y ) ≥ n + 1, which improves the result in reference[ 1 ], [ 2 ] and [ 3 ], let x, y satifsying d (x, y ) = 2.