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  1. Proceedings of the 2004 joint workshop on Foundations of mobile computing (DIALM-POMC '04)
  2. Connectivity in evolving graph with geometric properties
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On the fundamental limits of topology control
Localized techniques for broadcasting in wireless sensor networks
LLS: a locality aware location service for mobile ad hoc networks
Virtual coordinates for ad hoc and sensor networks
A resource--efficient time estimation for wireless sensor networks
Improved approximation results for the minimum energy broadcasting problem
Unit disk graph approximation
Gathering correlated data in sensor networks
OVSF-CDMA code assignment in wireless ad hoc networks
Connectivity in evolving graph with geometric properties
Accuracy vs. lifetime: linear sketches for approximate aggregate range queries in sensor networks
Experimental analysis of adjustable sectorized topologies for static ad hoc networks: extended abstract
Batch conflict resolution algorithm with progressively accurate multiplicity estimation

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Connectivity in evolving graph with geometric properties

Content Provider ACM Digital Library
Author Jarry, Aubin Lotker, Zvi
Abstract The evolving graph model was developed to capture the information on the topology of dynamic networks in a compact and efficient manner [5]. It is known that to find the size of the maximum strongly connected component in evolving graphs is NP-hard [1]. In this paper we study the strongly connected component in evolving graphs with geometric properties. We show that SCC is still NP-hard in the case the nodes are placed on a grid and two points are connected if the Euclidean distance is equal or less than 2. On the other hand we show that if the underlying graph is tree this problem can be solved in polynomial time.
Starting Page 24
Ending Page 30
Page Count 7
File Format PDF
ISBN 1581139217
DOI 10.1145/1022630.1022635
Language English
Publisher Association for Computing Machinery (ACM)
Publisher Date 2004-10-01
Publisher Place New York
Access Restriction Subscribed
Subject Keyword Trees Evolving graphs Dynamic networks Connectivity Disc graphs
Content Type Text
Resource Type Article
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