A self-stabilizing graph algorithm: Finding the cutting center of a tree

被引:1
|
作者
Chaudhuri, P [1 ]
Thompson, H [1 ]
机构
[1] Univ W Indies, Dept Comp Sci Math & Phys, Bridgetown, Barbados
关键词
distributed system; self-stabilizing algorithm; tree; cutting center; complexity;
D O I
10.1080/00207160310001650062
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The cutting number of a node i in a connected graph G is the number of pairs of nodes in different components of G-{i}. The cutting center consists of the set of nodes of G with maximal cutting number. This article presents a self-stabilizing algorithm for finding the cutting numbers for all nodes of a tree T= (V-T, E-T) and hence the cutting center of T . It is shown that the proposed self-stabilizing algorithm requires O(n(2)) moves. The algorithm complexity can also be expressed as O(n) rounds.
引用
收藏
页码:183 / 190
页数:8
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