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• W2912936315 abstract "The minimum spanning tree (MST) problem is a fundamental problem in computer science and operations research, which has many real-life network design applications. Given a graph $G$ with $n$ vertices and $m$ edges, starting from an MST (denoted by $T$ ) covering a subgraph of $G$ , it is usually needed to reconstruct a new MST after swapping two vertices $vin T$ and $v' notin T$ . For this purpose, the most popular choice is to reconstruct an MST from scratch, for which the current fastest algorithm (Kruskal’s algorithm based on Fibonacci heap) requires a time complexity of $O(m+ncdot log n)$ , implying that a high time complexity of $O(n^{2})cdot O(m+ncdot log n)$ is needed to evaluate all the $O(n^{2})$ possible swapping-based moves. In order to evaluate these moves more efficiently, we integrate a series of dynamic techniques to develop a fast dynamic swap-vertex move operator, which significantly reduces the overall time complexity from $O(n^{2})cdot O(m+ncdot log n)$ to $O(n)cdot O(mcdot log n)$ . We also strictly prove the correctness of the introduced method. Finally, we choose three well-studied Steiner/spanning tree problems as our test bed and carry out extensive experiments on 140 representative instances to show the effectiveness and efficiency of the proposed method. More importantly, as a general-purpose method, the dynamic swap-vertex move operator could be easily adapted to many other tree-related problems." @default.
• W2912936315 created "2019-02-21" @default.
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• W2912936315 date "2019-01-01" @default.
• W2912936315 modified "2023-10-03" @default.
• W2912936315 title "Dynamically Reconstructing Minimum Spanning Trees After Swapping Pairwise Vertices" @default.
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• W2912936315 doi "https://doi.org/10.1109/access.2019.2894829" @default.
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