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Lower bounds on communication overlap of networks

โœ Scribed by J.W. Hong; Q. Zuo


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
296 KB
Volume
47
Category
Article
ISSN
0304-3975

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The main mathematical result of this paper may be stated as follows: Given a matrix MAfร€1; 1g nร‚n and any matrix MAR nร‚n such that signรฐ Mi;j รž ยผ M i;j for all i; j; then rankรฐ MรžXn=jjMjj: Here jjMjj denotes the spectral norm of the matrix M: This implies a general lower bound on the complexity of