منابع مشابه
Minimum Restricted Diameter Spanning Trees
Let G = (V,E) be a requirements graph. Let d = (dij)i,j=1 be a length metric. For a tree T denote by dT (i, j) the distance between i and j in T (the length according to d of the unique i − j path in T ). The restricted diameter of T , DT , is the maximum distance in T between pair of vertices with requirement between them. The minimum restricted diameter spanning tree problem is to find a span...
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Let G be a simple graph with non-negative edge weights. Determining a minimum weight spanning tree is a fundamental problem that arises in network design and as a subproblem in many combinatorial optimization problems such as vehicle routing. In some applications, it is necessary to restrict the diameter of the spanning tree and thus one is interested in the problem : Find, in a given weighted ...
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The simplest way to overcome the problem is to change formulation. Recall that in [1] we extended the given directed graph G* with one source (s) and two sinks slightly the graph G to a (t and t ). 1 2 Further, our formulation restricted the out degree of the source s to one. Here we modify the directed graph by allowing only one sink et) and restricting the out degree of the source s to at mos...
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Let S be a set of n points in < d. We present an algorithm that uses the well-separated pair decomposition and computes the minimum spanning tree of S under any Lp or polyhedral metric. It has an expected running time of O(n logn) for uniform distributions. Experimentalresults show that this approachis practical. Under a variety of input distributions, the resultingimplementation is robust and ...
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1 Background Members of some secret party want to shutdown some high risk communication channals, while preserving low risk channals to ensure that members are still connected in the secret network.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2004
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(03)00360-3