## A Methodology for the Description and Comparison of Transportation Networks |

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### Contents

The Application of Structural Indices for | 16 |

Measures Based Upon Distributions of | 36 |

The Application of Matrix Representation for | 54 |

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### Common terms and phrases

A B C D additional adjacent vertices Alpha index analyzed Associated Number basic adjacency matrix basis Cascade Algorithm central vertex corresponding Cyclomatic Number description of network determined developed distribution measures edge paths electrical networks example excess travel F G H fundamental circuits Gamma index Garrison and Marble given graph theoretic incidence matrix increasing function index values interconnection Kansky levels of abstraction limiting value linkages matrix multiplication matrix representation maximum number monotonically increasing NETWORK F network properties network structure network vertices Networks E non-planar graphs non-redundant paths non-zero entry number of edges number of vertices particular vertex planar graphs points PUBLICATION OR QUOTATION ranking measures ranks Networks relative accessibility remote vertices represent route set of alternative set of networks set of non-redundant Shimbel index shown Spanning Tree Network standard deviation structural indices tion total number transportation networks upper bound values of vg vertex pairs vg approaches infinity