Ends in spanning trees (Q1198517)
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scientific article; zbMATH DE number 89966
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ends in spanning trees |
scientific article; zbMATH DE number 89966 |
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Ends in spanning trees (English)
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16 January 1993
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The author deals with infinite graphs. R. Halin defined an end \(E\) of an infinite graph \(G\) as a set of 1-way infinite paths in \(G\) such that vertices \(P\) and \(Q\) are in \(E\) iff for any subset \(R\) of the vertice set there is a finite path in \(G-R\) joining \(P\) and \(Q\). The author proves that if \(T\) is a locally finite spanning tree of a connected infinite graph \(G\) and \(E\) is an end of \(G\), then \(T\) has at least one 1-way infinite path in \(E\).
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end
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infinite graph
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spanning tree
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0.8800536
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0.8554477
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0.8433454
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0.8349658
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