## Generating Functions of Abstract Graphs with Systems Applications |

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### Contents

ACKNOWLEDGEMENTS | x |

LI3T OF FIGURES 4 TABLES | xiii |

CONSTRAINED CODES | xv |

Copyright | |

15 other sections not shown

### Common terms and phrases

abstract graph adder algorithm Apply branch transmissions characteristic difference equation characteristic function code words complete graph complex component determinants connectivity matrix Consider constrained code corresponding denominator diagram directed graph discrete Markov processes electrical networks element end node equivalent graph example flow graph theory Ggg(z given graph graph from node GSE(z Huffman Code length linear simultaneous equations loop transmissions maximal strongly connected maximum number Min-Min node weight Non-Cyclical Parameters non-touching loops number of branches Number of code number of different number of distinct number of loops partition path enumeration Prefix random graphs reachable reaching node recursion reduced graph redundant nodes represent rows and columns rows columns sampled data system SEPERATOR VARIABLE set of linear shift register sequences signal flow graph simultaneous linear equations starting nodes STEP strongly connected subgraph terminal nodes Theorem total number transitions transmission from node transmission matrix transmittances values waveforms well-formation test zero