On the quick search for the shortest paths in an unweighted dynamic graph by its projections in brief

06/08/2022

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by   V. A. Melent'ev, et al.

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For the first time proposed: a method for representing the projections of a graph in computer memory and a description based on it of a quick search for shortest paths in unweighted dynamic graphs. The spatial complexity of the projection description does not exceed (d + 1)× n words, where d is the diameter and n is the number of vertices of the graph. The temporal difficulty of finding one shortest path between two vertices does not exceed d steps with the duration of elementary time of sampling a machine word. The solution can be applied in time delay-critical routing protocols of computer networks and supercomputers.