Approximating k-hop minimum-spanning trees
نویسندگان
چکیده
Given a complete graph on n nodes with metric edge costs, the minimum-cost khop spanning tree (kHMST) problem asks for a spanning tree of minimum total cost such that the longest root-leaf-path in the tree has at most k edges. We present an algorithm that computes such a tree of total expected cost O(log n) times that of a minimum-cost k-hop spanning-tree.
منابع مشابه
Approximating k-hop Minimum Spanning Trees in Euclidean Metrics
In the minimum-cost k-hop spanning tree (k-hop MST) problem, we are given a set S of n points in a metric space, a positive small integer k and a root point r ∈ S. We are interested in computing a rooted spanning tree of minimum cost such that the longest root-leaf path in the tree has at most k edges. We present a polynomial-time approximation scheme for the plane. Our algorithm is based on Ar...
متن کاملof Informatics The 2 - hop spanning tree problem . Geir Dahl
Given a graph G with a speci ed root node r. A spanning tree in G where each node has distance at most 2 from r is called a 2-hop spanning tree. For given edge weights the 2-hop spanning tree problem is to nd a minimum weight 2-hop spanning tree. The problem is NP-hard and has some interesting applications. We study a polytope associated with a directed model of the problem give a completeness ...
متن کاملThe 2 - hop spanning tree problem . Geir Dahl
Given a graph G with a speciied root node r. A spanning tree in G where each node has distance at most 2 from r is called a 2-hop spanning tree. For given edge weights the 2-hop spanning tree problem is to nd a minimum weight 2-hop spanning tree. The problem is NP-hard and has some interesting applications. We study a polytope associated with a directed model of the problem give a completeness ...
متن کاملThe 2-hop spanning tree problem
Given a graph G with a speciied root node r. A spanning tree in G where each node has distance at most 2 from r is called a 2-hop spanning tree. For given edge weights the 2-hop spanning tree problem is to nd a minimum weight 2-hop spanning tree. The problem is NP-hard and has some interesting applications. We study a polytope associated with a directed model of the problem give a completeness ...
متن کاملBenchmarks and Tradeoffs for Minimum Hop, Minimum Edge and Maximum Lifetime per Multicast Tree in Mobile Ad hoc Networks
The high-level contribution of this paper is to establish benchmarks for the minimum hop count per source-receiver path, minimum number of edges per tree and maximum tree lifetime for multicast routing in mobile ad hoc networks (MANETs) and explore the tradeoffs between these three metrics. Accordingly, we consider three categories of algorithms – Breadth First Search (for minimum hop trees), m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Oper. Res. Lett.
دوره 33 شماره
صفحات -
تاریخ انتشار 2005