The crossing number of \(C(8,2)\square P_{n}\) (Q1015432)
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scientific article; zbMATH DE number 5552209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The crossing number of \(C(8,2)\square P_{n}\) |
scientific article; zbMATH DE number 5552209 |
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The crossing number of \(C(8,2)\square P_{n}\) (English)
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8 May 2009
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The graph obtained from the \(n\)-cycle \((v_1,\dots, v_n,v_1)\) by adding edges \(v_i v_{i+k}\), \(i= 1,2,\dots, n\) (where \(i+k\) is taken \(\mod n\)) is denoted by \(C(n,k)\). The authors show that the Cartesian product of \(C(8,2)\) with the path \(P_n\) is \(8n\).
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crossing number
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\(C(8,2)\)
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Cartesian product
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path
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homeomorphism
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