A method for systematic site-to-bond conversion of directed graphs |
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Authors: | J A M S Duarte |
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Institution: | (1) Laboratório de Fisica, Faculdade de Ciências, Universidade do Porto, 4000 Porto, Portugal;(2) Institut für Theoretische Physik, 5000 Köln 41, Federal Republic of Germany |
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Abstract: | A graph-theoretic method for the complete derivability of bond graphs from their site counterparts is described. Bond perimeter, valence, and cyclomatic number distributions as well as spatial extent measures can be systematically generated when coupled with a site valence partition in the original graph. Relevant consequences for bond configurations include the facts that (i) percolation perimeter and cyclomatic number distributions are equivalent, (ii) geometrical susceptibilities are not independent, and (iii) a critical site/bond ratio exists. |
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Keywords: | Percolation perimeter dilute polymers site valence |
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