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|Title:||Approximating the Spanning k-Tree Forest Problem|
|Source:||Liao, C.-S.,Zhang, L. (2009). Approximating the Spanning k-Tree Forest Problem. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 5598 LNCS : 293-301. ScholarBank@NUS Repository. https://doi.org/10.1007/978-3-642-02270-8_30|
|Abstract:||As a generalization of the spanning star forest problem, the spanning k-tree forest problem is to find a maximum-edge-weight spanning forest in which each tree has a central node and other nodes in the tree are at most k-distance away from the central node. In this paper, we show that it can be approximated with ratio k/k+1 in polynomial time for both undirected and directed graphs. In the weighted distance model, a 0.5-approximation algorithm is presented. © 2009 Springer Berlin Heidelberg.|
|Source Title:||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|
|Appears in Collections:||Staff Publications|
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