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Arborescence polytopes for series-parallel graphs. (English) Zbl 0802.05040
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.

05C20 Directed graphs (digraphs), tournaments
05C05 Trees
05C99 Graph theory
Full Text: DOI
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