Given a graph G with m edges and n nodes, a spanning tree T of G, and an edge e that is being deleted from or inserted into G, we give efficient O(n) algorithms to compute a possible swap for e that minimizes the diameter of the new spanning tree. This problem arises in high-speed networks, particularly in optical networks.
Maintaining spanning trees of small diameter / Italiano, Giuseppe Francesco; Ramaswami, R.. - In: ALGORITHMICA. - ISSN 0178-4617. - 22:(1998), pp. 275-304.
Maintaining spanning trees of small diameter
ITALIANO G;
1998
Abstract
Given a graph G with m edges and n nodes, a spanning tree T of G, and an edge e that is being deleted from or inserted into G, we give efficient O(n) algorithms to compute a possible swap for e that minimizes the diameter of the new spanning tree. This problem arises in high-speed networks, particularly in optical networks.
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