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On Hamiltonian circuits and spanning trees of hypercubes. (English) Zbl 0544.05057

Čas. Pěst. Mat. 109, 135-152 (1984).

Structural properties of Hamiltonian circuits and paths in the graph of the n-cube \(Q_ n\) are found and employed for constructing some classes of spanning trees of \(Q_ n\). Other spanning trees of \(Q_ n\) are constructed using transformations of binary trees.

Reviewer: E.Jucovič

Cited in 9 Reviews

Cited in 28 Documents

MSC:

05C99	Graph theory
05C05	Trees
05C45	Eulerian and Hamiltonian graphs

Keywords:

Hamiltonian circuits; n-cube; spanning trees

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