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arXiv · 1502.07206

Incremental DFS Trees on Arbitrary Directed Graphs

Giorgio Ausiello·Paolo G. Franciosa·Giuseppe F. Italiano·Andrea Ribichini
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Abstract

We present a new algorithm for maintaining a DFS tree of an arbitrary directed graph under any sequence of edge insertions. Our algorithm requires a total of $O(m\cdot n)$ time in the worst case to process a sequence of edge insertions, where $n$ is the number of vertices in the graph and $m$ is the total number of edges in the final graph. We also prove lower bounds for variations of this problem.

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Giorgio Ausiello, Paolo G. Franciosa, Giuseppe F. Italiano, Andrea Ribichini. 2015-02-25. Incremental DFS Trees on Arbitrary Directed Graphs. https://arxiv.org/abs/1502.07206

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