【摘要】 考虑通信网络中一类连通性问题。假设某地区面积为S,均匀随机分有n个网站,任意两个网站之间距离小于r(n)时,这两个网站之间可以直接通信,得到的结果是r(n)满足条件πr~2(n)=((logn+c(n))/n)S时,该通信网络随c(n)→+∞以概率1连通。更多还原

【Abstract】 This paper mainly considers the connectivity in wireless communication networks. Suppose that the square in certain area is S.Let n stations be placed randomly, uniformly and independently in this area.Further suppose that any two stations can directly communicate each other if their distance is no more than r(n).It obtains the results that the communication networks is asymptotically connected with probability 1 if and only if c(n) converges to positive infinite,under the conditionπr~2(n) =logn+c(n)/n S.更多还原