A reduction of the logspace shortest path problem to biconnected graphs

Boris Brimkov

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arXiv · 1511.07100

A reduction of the logspace shortest path problem to biconnected graphs

Boris Brimkov

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Abstract

In this paper, we reduce the logspace shortest path problem to biconnected graphs; in particular, we present a logspace shortest path algorithm for general graphs which uses a logspace shortest path oracle for biconnected graphs. We also present a linear time logspace shortest path algorithm for graphs with bounded vertex degree and biconnected component size, which does not rely on an oracle. The asymptotic time-space product of this algorithm is the best possible among all shortest path algorithms.

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Boris Brimkov. 2015-11-23. A reduction of the logspace shortest path problem to biconnected graphs. https://arxiv.org/abs/1511.07100

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