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Embedding ladders and caterpillars into the hypercube. (English) Zbl 0906.05019
Summary: We present an embedding of generalized ladders as subgraphs into the hypercube. Through an embedding of caterpillars into ladders, we obtain an embedding of caterpillars into the hypercube. In this way we get almost all known results concerning the embedding of caterpillars into the hypercube. In addition we construct an embedding for some new types of caterpillars. Our results support the conjecture of I. Havel in [Čas. Pěstování Mat. 109, 135-152 (1984; Zbl 0544.05057)].

MSC:
05C10 Planar graphs; geometric and topological aspects of graph theory
05C05 Trees
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