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- W2587822263 abstract "Depth-first search (DFS) is a well-known graph traversal algorithm and can be performed in (O(n+m)) time for a graph with n vertices and m edges. We consider dynamic DFS problem, that is, to maintain a DFS tree of an undirected graph G when edges and vertices are gradually inserted into or deleted from G. We present an algorithm for this problem which takes worst case (O(sqrt{mn}cdot mathrm {polylog}(n))) time per update and requires only ((3m+o(m))log n+O(m)) bits of space. This is the first sublinear worst case update time algorithm for this problem which requires only (O(mlog n)) bits. Moreover, the time complexity of this algorithm is close to, or under particular condition better than, the state-of-the-art algorithm of Chen et al. [5], which requires (O(mlog ^2 n)) bits of space." @default.
- W2587822263 created "2017-02-24" @default.
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- W2587822263 date "2017-01-01" @default.
- W2587822263 modified "2023-10-02" @default.
- W2587822263 title "A Space-Efficient Algorithm for the Dynamic DFS Problem in Undirected Graphs" @default.
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- W2587822263 doi "https://doi.org/10.1007/978-3-319-53925-6_23" @default.
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