Distance-related invariants on polygraphs (Q1377616)
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scientific article; zbMATH DE number 1109900
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distance-related invariants on polygraphs |
scientific article; zbMATH DE number 1109900 |
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Distance-related invariants on polygraphs (English)
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8 April 1998
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A fasciagraph (rotagraph) is obtained as \(n\) copies of a fixed base graph, sequentially linked in a linear (circular) way through a fixed set of vertex-pairs of the base graph. Tight bounds are derived on the distance matrix of a fasciagraph (rotagraph) in terms of the base graph's distance matrix. This allows approximation of the Wiener index (total distance sum of all pairs) of a fasciagraph (rotagraph), exact in several important cases.
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distance
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Wiener index
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fasciagraph
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rotagraph
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