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The Cartographer
Incremental DFS Trees on Arbitrary Directed Graphs
February 25, 2015 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Giorgio Ausiello, Paolo G. Franciosa, Giuseppe F. Italiano, Andrea Ribichini
arXiv ID
1502.07206
Category
cs.DS: Data Structures & Algorithms
Citations
1
Venue
arXiv.org
Last Checked
4 months ago
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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