An efficient algorithm for the length-constrained heaviest path problem on a tree
Information Processing Letters
Journal of Computer and System Sciences - Computational biology 2002
Linear-time algorithm for finding a maximum-density segment of a sequence
Information Processing Letters
An Optimal Algorithm for the Maximum-Density Segment Problem
SIAM Journal on Computing
Journal of Computer and System Sciences
An improved algorithm for finding a length-constrained maximum-density subtree in a tree
Information Processing Letters
An optimal algorithm for the maximum-density path in a tree
Information Processing Letters
The density maximization problem in graphs
COCOON'11 Proceedings of the 17th annual international conference on Computing and combinatorics
The density maximization problem in graphs
Journal of Combinatorial Optimization
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Let T=(V,E) be a tree with n nodes such that each node v is associated with a value-weight pair(val"v,w"v), where the valueval"v is a real number and the weightw"v is a positive integer. The density of a path P= is defined as @?"i"="1^kval"i/@?"i"="1^kw"i. The weight of P, denoted by w(P), is @?"i"="1^kw"i. Given a tree of n nodes, two integers w"m"i"n and w"m"a"x, and a length lower bound L, we present a pseudo-polynomial O(w"m"a"xnL)-time algorithm to find a maximum-density path P in T such that w"m"i"n=