On 3-regular bipancyclic subgraphs of hypercubes (Q499820)
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scientific article; zbMATH DE number 6489888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On 3-regular bipancyclic subgraphs of hypercubes |
scientific article; zbMATH DE number 6489888 |
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On 3-regular bipancyclic subgraphs of hypercubes (English)
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6 October 2015
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Summary: The \(n\)-dimensional hypercube \(Q_n\) is bipancyclic; that is, it contains a cycle of every even length from 4 to \(2^n\). In this paper, we prove that \(Q_n\) \((n\geq 3)\) contains a 3-regular, 3-connected, bipancyclic subgraph with \(l\) vertices for every even \(l\) from 8 to \(2^n\) except 10.
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bipancyclic \(n\)-dimensional hypercube
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