Efficient points on a network. (English) Zbl 0644.90029

Summary: Properties of efficient points on a network are given. They are then used to devise (i) a linear algorithm for efficient points on a tree, (ii) an O(m log n) algorithm for the set of links common to all shortest paths between two points, and (iii) a polynomial algorithm for efficient points on a general network.


90B05 Inventory, storage, reservoirs
90C35 Programming involving graphs or networks
68Q25 Analysis of algorithms and problem complexity
05C05 Trees
90C31 Sensitivity, stability, parametric optimization
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