A note on commuting graphs for symmetric groups (Q1010909)
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scientific article; zbMATH DE number 5541071
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on commuting graphs for symmetric groups |
scientific article; zbMATH DE number 5541071 |
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A note on commuting graphs for symmetric groups (English)
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7 April 2009
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Summary: The commuting graph \({\mathcal C}(G,X)\), where \(G\) is a group and \(X\) a subset of \(G\), has \(X\) as its vertex set with two distinct elements of \(X\) joined by an edge when they commute in \(G\). Here the diameter and disc structure of \({\mathcal C}(G,X)\) is investigated when \(G\) is the symmetric group and \(X\) a conjugacy class of \(G\).
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commuting graph
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diameter
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disc structure
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symmetric group
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conjugacy class
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