Arborescence polytopes for series-parallel graphs (Q1329787)
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scientific article; zbMATH DE number 612413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arborescence polytopes for series-parallel graphs |
scientific article; zbMATH DE number 612413 |
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Arborescence polytopes for series-parallel graphs (English)
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1 December 1994
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A graph is called series-parallel if it does not contain any subgraph homeomorphic to the complete graph on 4 vertices. For a directed graph whose underlying graph is series-parallel, an \(r\)-arborescence is defined as a tree directed away from the root vertex \(r\). Given a set of terminals, a Steiner arborescence is an \(r\)-arborescence spanning this set. Associated with these arborescences the author defines the convex hulls of incidence vectors and characterizes these polytopes completely by linear inequalities.
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series-parallel graphs
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discrete graph
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arborescence
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polytopes
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linear inequalities
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