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arXiv · 1803.04282

Linear-Time In-Place DFS and BFS on the Word RAM

Frank Kammer·Andrej Sajenko
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Abstract

We present an in-place depth first search (DFS) and an in-place breadth first search (BFS) that runs on a word RAM in linear time such that, if the adjacency arrays of the input graph are given in a sorted order, the input is restored after running the algorithm. To obtain our results we use properties of the representation used to store the given graph and show several linear-time in-place graph transformations from one representation into another.

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Frank Kammer, Andrej Sajenko. 2018-03-12. Linear-Time In-Place DFS and BFS on the Word RAM. https://arxiv.org/abs/1803.04282

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