A characterization of planar graphs by Trémaux orders (Q1065816)
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scientific article; zbMATH DE number 3922679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of planar graphs by Trémaux orders |
scientific article; zbMATH DE number 3922679 |
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A characterization of planar graphs by Trémaux orders (English)
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1985
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A Trémaux tree (or Depth-First-Search tree) of a graph G is a rooted spanning tree (T,r) in G (considered also as a semi-lattice with lowest element r) such that every edge outside T is incident with two comparable vertices in T. A characterization theorem of planar graphs based on the concept of Trémaux tree is stated and proved. The theorem can be used as a topological tool to justify planarity testing algorithms involving Depth-First-Search.
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Trémaux tree
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Depth-First-Search tree
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planar graphs
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planarity testing
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