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Topology and Geometry of Sensor Netw...
~
Chintakunta, Harish Kumar.
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Topology and Geometry of Sensor Networks: A Distributed Computing Approach.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Topology and Geometry of Sensor Networks: A Distributed Computing Approach./
作者:
Chintakunta, Harish Kumar.
面頁冊數:
145 p.
附註:
Source: Dissertation Abstracts International, Volume: 75-03(E), Section: B.
Contained By:
Dissertation Abstracts International75-03B(E).
標題:
Engineering, Electronics and Electrical. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3575701
ISBN:
9781303546822
Topology and Geometry of Sensor Networks: A Distributed Computing Approach.
Chintakunta, Harish Kumar.
Topology and Geometry of Sensor Networks: A Distributed Computing Approach.
- 145 p.
Source: Dissertation Abstracts International, Volume: 75-03(E), Section: B.
Thesis (Ph.D.)--North Carolina State University, 2013.
This dissertation is guided by two important questions; 1) What is the minimal information required to perform a ceratin task?, and likewise, 2) what tasks may be performed given certain information?
ISBN: 9781303546822Subjects--Topical Terms:
626636
Engineering, Electronics and Electrical.
Topology and Geometry of Sensor Networks: A Distributed Computing Approach.
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Source: Dissertation Abstracts International, Volume: 75-03(E), Section: B.
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Adviser: Amadeo Hamid Krim.
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Thesis (Ph.D.)--North Carolina State University, 2013.
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This dissertation is guided by two important questions; 1) What is the minimal information required to perform a ceratin task?, and likewise, 2) what tasks may be performed given certain information?
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We begin by presenting a distributed algorithm to detect and localize coverage and worm holes in sensor networks. The only information that is assumed is that each node has a list of neighboring nodes with which it can communicate. We perform the detection task by checking if the null space of the first-Laplacian is trivial, and localize the holes using a "divide-and-conquer" algorithm. We further use the properties of elements in this null space, called harmonics, to develop a distributed algorithm to compute generators for the first homology. Such distributed algorithms, in addition to their applications in sensor networks, are also useful for processing massive data sets in parallel architecture.
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We then move to the paradigm where, in addition to having a list of neighboring nodes, each node can compute the distance between itself and its neighboring nodes. Given this information, we show that we can compute locally, i.e. without any interaction with nodes more than one hop away, a geometric object called the alpha shape which gives a topologically faithful representation of the boundary of the network. Further, given a sufficient density of nodes, we show that we can compute a triangulation on the network, using only 1-hop communications. We apply the above algorithms to a fast and distributive tracking of systematic failures in sensor networks. We show that this tracking is robust, that is, we can track systematic failures accurately, even in the presence of random failures.
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