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One-legged caterpillars span hypercubes. (English) Zbl 0589.05031
A caterpillar is a tree with at least three vertices, which after removal of the end vertices and incident edges reduces to a snake or a simple vertex. A connected bipartite graph is called balanced if each part contains half of all vertices. It is shown that any balanced caterpillar having \(2^ n\) vertices and maximum degree 3 spans the n-dimensional hypercube.
Reviewer: P.Kirschenhofer

MSC:
05C05 Trees
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References:
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