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Hierarchy Structure of Graphs and Weighted Condensations

V. A. Buslov
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Abstract

By natural way the hierarchy structure is introduced on directed graphs with weighted adjacencies. Embedded system of algebras of subsets of the set of vertices of such digraph and it's consolidations, which vertices are the elementary sets of corresponding algebra, are constructed. Weights of arcs of consolidated graphs are determined.

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V. A. Buslov. 2000-01-28. Hierarchy Structure of Graphs and Weighted Condensations. https://arxiv.org/abs/math/0001165

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