Nonregular graphs with a regular number of walks (Q2732634)
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scientific article; zbMATH DE number 1624787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonregular graphs with a regular number of walks |
scientific article; zbMATH DE number 1624787 |
Statements
28 November 2001
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walk of given length
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Nonregular graphs with a regular number of walks (English)
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There is a unique nonregular graph \(G\) (a 7-vertex tree) such that there are exactly \(2^n\) walks in \(G\) of length \(n\) starting from a given vertex. Examples of nonregular graphs are given with \(d^n\) walks (\(d \geq 3\)) of length \(n\) for each \(n\).
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