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ABSTRACT

Discrete sequential systems, such as sampled data systems, discrete Markov processes, linear shift register generators, computer programs, sequential code generators, and prefixed comma-free codes, can be represented and studied in a uniform manner by directed graphs and their generating functions. In this paper the properties of the generating functions are examined from certain connectivity considerations of these graphs.

REFERENCES

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INDEX TERMS

Primary Classification:
  G. Mathematics of Computing
  G.2 DISCRETE MATHEMATICS

Additional Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.2 Nonnumerical Algorithms and Problems
          Subjects: Computations on discrete structures

General Terms:
Algorithms, Measurement, Performance, Theory, Verification