Scheduling file transfers for trees and odd cycles
SIAM Journal on Computing
Fibonacci heaps and their uses in improved network optimization algorithms
Journal of the ACM (JACM)
The complexity of file transfer scheduling with forwarding
SIAM Journal on Computing
Approximating the minimum degree spanning tree to within one from the optimal degree
SODA '92 Proceedings of the third annual ACM-SIAM symposium on Discrete algorithms
Approximation algorithms for NP-hard problems
Approximation algorithms for NP-hard problems
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Given an edge-weighted digraph G with a designated vertex r, and a vertex capacity 驴, we consider the problem of finding a shortest path tree T rooted at r such that for each vertex v the number of children of v in T does not exceed the capacity 驴(v). The problem has an application in designing a routing for transferring files from the source node to other nodes in an information network. In this paper, we first present an efficient algorithm to the problem. We then introduce extensions of the problem by relaxing the degree constraint or the distance constraint in various ways and show polynomial algorithms or the computational hardness of these problems.