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arXiv · 2206.03757

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

V. A. Melent'ev
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Abstract

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 $(d + 1)\times n$ 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.

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V. A. Melent'ev. 2022-06-08. On the quick search for the shortest paths in an unweighted dynamic graph by its projections in brief. https://arxiv.org/abs/2206.03757

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