Continued Fractions and Unique Factorization on Digraphs
We show that the characteristic series of walks (paths) between any two vertices of any finite digraph or weighted digraph G is given by a universal continued fraction of finite depth involving the simple paths and simple cycles of G. A simple path is a walk forbidden to visit any vertex more than o...
| Main Authors: | , , |
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| Format: | Journal article |
| Published: |
2012
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