Universal Steiner Trees for Data Aggregation in Low Doubling Metrics

نویسندگان

  • Srivathsan Srinivasagopalan
  • Costas Busch
چکیده

We describe a novel approach for constructing a single spanning tree for data aggregation towards a sink node which we call as Universal Steiner Tree (UST). The tree is universal in the sense that it is static and independent of the number of data sources and fusioncosts at intermediate nodes. The tree construction is in polynomial time, and for low doubling dimension topologies it guarantees a O(log n)approximation of the optimal aggregation cost. With constant fusioncost functions our aggregation tree gives a O(log n)-approximation for every Steiner tree to the sink.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Brief Announcement: Universal Data Aggregation Trees for Sensor Networks in Low Doubling Metrics

We describe a novel approach for constructing a single spanning tree for data aggregation towards a sink node. The tree is universal in the sense that it is static and independent of the number of data sources and fusion-costs at intermediate nodes. The tree construction is in polynomial time, and for low doubling dimension topologies it guarantees a O(log n)-approximation of the optimal aggreg...

متن کامل

On Strong Graph Partitions and Universal Steiner Trees

We study the problem of constructing universal Steiner trees for undirected graphs. Given a graphG and a root node r, we seek a single spanning tree T of minimum stretch, where the stretch of T isdefined to be the maximum ratio, over all terminal sets X , of the cost of the minimal sub-tree TX of Tthat connects X to r to the cost of an optimal Steiner tree connecting X to r in G. Un...

متن کامل

A $(1 + {\varepsilon})$-Embedding of Low Highway Dimension Graphs into Bounded Treewidth Graphs

Graphs with bounded highway dimension were introduced in [Abraham et al., SODA 2010] as a model of transportation networks. We show that any such graph can be embedded into a distribution over bounded treewidth graphs with arbitrarily small distortion. More concretely, if the highway dimension of G is constant we show how to randomly compute a subgraph of the shortest path metric of the input g...

متن کامل

Title A QPTAS for TSP with Fat Weakly Disjoint Neighborhoods in Doubling Metrics

We consider the Traveling Salesman Problem with Neighborhoods (TSPN) in doubling metrics. The goal is to find a shortest tour that visits each of a collection of n subsets (regions or neighborhoods) in the underlying metric space. We give a quasi-polynomial time approximation scheme (QPTAS) when the regions are what we call α-fat weakly disjoint. This notion combines the existing notions of dia...

متن کامل

Bounded Geometries, Fractals, and Low-Distortion Embeddings

The doubling constant of a metric space (X; d) is the smallest value such that every ball in X can be covered by balls of half the radius. The doubling dimension of X is then defined as dim(X) = log2 . A metric (or sequence of metrics) is called doubling precisely when its doubling dimension is bounded. This is a robust class of metric spaces which contains many families of metrics that occur i...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009