NDLI: On the role of symmetry in solving maximum lifetime problem in two-dimensional sensor networks

Content Provider	Springer Nature Link
Author	Lipiński, Z.
Copyright Year	2016
Abstract	We analyze continuous and discrete symmetries of the maximum lifetime problem in two dimensional sensor networks. We show how a symmetry of the network and invariance of the problem under a given transformation group G can be utilized to simplify its solution. We prove that for a G-invariant maximum lifetime problem there exists a G-invariant solution. Constraints which follow from the G-invariance allows us to reduce the problem and its solution to the subset of the sensor network. The subset we call an optimal fundamental region of network with respect to the action of the symmetry group G. We analyze in detail solutions of the maximum network lifetime problem invariant under a group of isometry transformations of a two dimensional Euclidean plane.
Starting Page	975
Ending Page	984
Page Count	10
File Format	PDF
ISSN	10220038
Journal	Wireless Networks
Volume Number	23
Issue Number	3
e-ISSN	15728196
Language	English
Publisher	Springer US
Publisher Date	2016-08-29
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Wireless sensor networks Energy efficiency Symmetry group Communications Engineering, Networks Computer Communication Networks Electrical Engineering IT in Business
Content Type	Text
Resource Type	Article
Subject	Computer Networks and Communications Information Systems Electrical and Electronic Engineering

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On the role of symmetry in solving maximum lifetime problem in two-dimensional sensor networks