A heuristic for the p-center problem in graphs
Discrete Applied Mathematics
The network inhibition problem
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Improving minimum cost spanning trees by upgrading nodes
Journal of Algorithms
Increasing the weight of minimum spanning trees
Journal of Algorithms
Discrete Mathematics
Finding the most vital node of a shortest path
Theoretical Computer Science - Computing and combinatorics
Discrete Applied Mathematics
Augmenting forests to meet odd diameter requirements
Discrete Optimization
Operations Research Letters
A simple heuristic for the p-centre problem
Operations Research Letters
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We define closed edge colorings of directed graphs, and state a conjecture about the maximum size of a tournament graph that can be arc-colored with m colors and contain no closed subgraphs. We prove special cases of this conjecture. We show that if this conjecture is correct then for any (undirected) graph with positive edge lengths and a given subset V^' of nodes, covering all the shortest paths between pairs of nodes of V^' requires at least |V^'|-1 edges. We use the latter property to produce an approximation algorithm with improved bound for minimizing the diameter or the radius of an unweighted graph by adding to it a given number of new edges.