DocumentCode
2887372
Title
Square Roots of Total Boolean Matrices: Enumeration Issues
Author
Massouros, Ch ; Tsitouras, Ch ; Voliotis, S.
Author_Institution
Dept. of Appl. Sci., TEI of Chalkis, Psahna, Greece
fYear
2009
fDate
18-20 June 2009
Firstpage
1
Lastpage
4
Abstract
This paper studies the square roots of total Boolean matrices. The basic matrices are introduced and it is proved that all the square roots of the total Boolean matrix can be constructed from the basic ones. Next the basic matrices of order 2, 3, 4, 5 are enumerated and they are connected with directed graphs. Finally some issues are discussed concerning applications of self-organization and routing in wireless sensor networks.
Keywords
Boolean algebra; directed graphs; matrix algebra; telecommunication network routing; wireless sensor networks; directed graphs; enumeration issues; square roots; total Boolean matrices; wireless sensor network routing; Matrix converters; Routing; Wireless sensor networks;
fLanguage
English
Publisher
ieee
Conference_Titel
Systems, Signals and Image Processing, 2009. IWSSIP 2009. 16th International Conference on
Conference_Location
Chalkida
Print_ISBN
978-1-4244-4530-1
Electronic_ISBN
978-1-4244-4530-1
Type
conf
DOI
10.1109/IWSSIP.2009.5367718
Filename
5367718
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