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Complexity measures of sign matrices

✍ Scribed by Nati Linial; Shahar Mendelson; Gideon Schechtman; Adi Shraibman


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
293 KB
Volume
27
Category
Article
ISSN
0209-9683

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By a nonnegative sign pattern we mean a matrix whose entries are from the set { +, 0). A nonnegative sign pattern A is said to allow normality if there is a normal matrix B whose entries have signs indicated by A. In this paper the combinatorial structure of nonnegative normal matrices, in particula

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Any synthesis process based on a node-pair or mesh matrix must take cognizance of the sign pattern of the matrix. It is proved in general terms in this paper that: (1) the only subgraph of a connected graph G wbich need be of concern in studying the sign pattern of the node-pair (mesh) matrix is th