Journal
DISCRETE OPTIMIZATION
Volume 3, Issue 4, Pages 383-389Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.disopt.2006.06.002
Keywords
network design; algorithm; computational complexity; logistics
Ask authors/readers for more resources
We study the problem of finding a length-constrained maximum-density path in a tree with weight and length on each edge. This problem was proposed in [R.R. Lin, W.H. Kuo, K.M. Chao, Finding a length-constrained maximum-density path in a tree, Journal of Combinatorial Optimization 9 (2005) 147-156] and solved in O(nU) time when the edge lengths are positive integers, where n is the number of nodes in the tree and U is the length upper bound of the path. We present an algorithm that runs in O(n log(2) n) time for the generalized case when the edge lengths are positive real numbers, which indicates an improvement when U = ohm(log(2) n). The complexity is reduced to 0(n log n) when edge lengths are uniform. In addition, we study the generalized problems of finding a length-constrained maximum-sum or maximum-density subtree in a given tree or graph, providing algorithmic and complexity results. (c) 2006 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available