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COCOON
2001
Springer

Finding the Most Vital Node of a Shortest Path

13 years 8 months ago
Finding the Most Vital Node of a Shortest Path
In an undirected, 2-node connected graph G = (V, E) with positive real edge lengths, the distance between any two nodes r and s is the length of a shortest path between r and s in G. The removal of a node and its incident edges from G may increase the distance from r to s. A most vital node of a given shortest path from r to s is a node (other than r and s) whose removal from G results in the largest increase of the distance from r to s. In the past, the problem of finding a most vital node of a given shortest path has been studied because of its implications in network management, where it is important to know in advance which component failure will affect network efficiency the most. In this paper, we show that this problem can be solved in O(m + n log n) time and O(m) space, where m and n denote the number of edges and the number of nodes in G.
Enrico Nardelli, Guido Proietti, Peter Widmayer
Added 28 Jul 2010
Updated 28 Jul 2010
Type Conference
Year 2001
Where COCOON
Authors Enrico Nardelli, Guido Proietti, Peter Widmayer
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