A proof of the two-path conjecture (Q5960794)
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scientific article; zbMATH DE number 1730014
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A proof of the two-path conjecture |
scientific article; zbMATH DE number 1730014 |
Statements
A proof of the two-path conjecture (English)
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25 April 2002
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The authors prove the following result: If a graph \(G\) decomposes into two paths \(X\) and \(Y\), each of length \(n\) with \(n\geq 2\), and \(X\) and \(Y\) have at least one common vertex, then \(G\) has a path of length \(n\) distinct from \(X\) and \(Y\).
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connected graph
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path
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