We consider the problem of maintaining minimum length paths in a directed graph G=(V,E) with n nodes while inserting new arcs. A data structure which supports the following operations is presented: an add operation, which inserts an arc in the digraph, and a minpath operation, which returns a minimal length path between a pair of nodes. The data structure supports each minpath operation in O(k) worst case time, where k
On-line computation of minimal and maximal length paths / Ausiello, G; Italiano, Giuseppe Francesco; Marchetti Spaccamela, A; Nanni, U. - In: THEORETICAL COMPUTER SCIENCE. - ISSN 0304-3975. - 95:2(1992), pp. 245-261. [10.1016/0304-3975(92)90267-J]
On-line computation of minimal and maximal length paths
Italiano G;
1992
Abstract
We consider the problem of maintaining minimum length paths in a directed graph G=(V,E) with n nodes while inserting new arcs. A data structure which supports the following operations is presented: an add operation, which inserts an arc in the digraph, and a minpath operation, which returns a minimal length path between a pair of nodes. The data structure supports each minpath operation in O(k) worst case time, where k
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