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Spanning spiders and light-splitting switches. (English) Zbl 1044.05048
Summary: Motivated by a problem in the design of optical networks, we ask when a graph has a spanning spider (subdivision of a star), or, more generally, a spanning tree with a bounded number of branch vertices. We investigate the existence of these spanning subgraphs in analogy to classical studies of Hamiltonicity.

MSC:
05C45 Eulerian and Hamiltonian graphs
05C90 Applications of graph theory
05C05 Trees
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