On a result of Thomassen (Q2809211)
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scientific article; zbMATH DE number 6586360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a result of Thomassen |
scientific article; zbMATH DE number 6586360 |
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On a result of Thomassen (English)
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27 May 2016
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graph
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subgraph
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chromatic number
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edge-connectivity
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outdegree
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0.8007662
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\textit{C. Thomassen} recently proved [Combinatorica 37, No. 4, 785--793 (2017; Zbl 1413.05124)] that each graph with uncountable chromatic number has a subgraph which also has uncountable chromatic number as well as infinite edge-connectivity. He also proved that, if each orientation of a given graph has a vertex of infinite outdegree, then the graph has an uncountable subgraph of infinite edge-connectivity.NEWLINENEWLINEThe author of the present article offers new proofs of Thomassen's results.
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