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General 2-path Problem

Qianghui Xiao
摘要
In this paper, some preliminaries about signal flow graph, lineartime-invariant system on F(z) and computational complexity are first introducedin detail. In order to synthesize the necessary and sufficient condition onF(z) for a general 2-path problem, the sufficient condition on F(z) or R andnecessary conditions on F(z) for a general 2-path problem are secondly analyzedrespectively. Moreover, an equivalent sufficient and necessary condition on Rwhether there exists a general 2-path is deduced in detail. Finally, thecomputational complexity of the algorithm for this equivalent sufficient andnecessary condition is introduced so that it means that the general 2-pathproblem is a P problem.
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