On the uniform edge-partition of a tree

  title={On the uniform edge-partition of a tree},
  author={Bang Ye Wu and Hung-Lung Wang and Shih Ta Kuan and Kun-Mao Chao},
  journal={Discrete Applied Mathematics},
We study the problem of uniformly partitioning the edge set of a tree with n edges into k connected components, where k ≤ n. The objective is to minimize the ratio of the maximum to the minimum number of edges of the subgraphs in the partition. We show that, for any tree and k ≤ 4, there exists a k-split with ratio at most two. For general k, we propose a simple algorithm that finds a k-split with ratio at most three in O(n log k) time. Experimental results on random trees are also shown. 

From This Paper

Figures, tables, and topics from this paper.

Explore Further: Topics Discussed in This Paper