Embedding ladders and caterpillars into the hypercube

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 ad...

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Bibliographic Details
Published inDiscrete Applied Mathematics Vol. 83; no. 1; pp. 21 - 29
Main Authors Bezrukov, Sergei, Monien, Burkhard, Unger, Walter, Wechsung, Gerd
Format Journal Article
LanguageEnglish
Published Elsevier B.V 25.03.1998
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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 Havel (1984).
ISSN:0166-218X
1872-6771
DOI:10.1016/S0166-218X(97)00101-7