On automorphisms of semitriangular graphs with \(\mu = 7\) (Q656373)
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scientific article; zbMATH DE number 5998434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On automorphisms of semitriangular graphs with \(\mu = 7\) |
scientific article; zbMATH DE number 5998434 |
Statements
On automorphisms of semitriangular graphs with \(\mu = 7\) (English)
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17 January 2012
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The authors consider automorphisms of semitriangular graphs with \(\mu =7\). Graphs are strongly regular graphs with parameters \((v,k,\lambda,\mu)\) if \(v\) is their number of vertices, they are regular graphs of degree \(k\), each of their edges lies in exactly \(\lambda\) triangles and for any two vertices \(a\) and \(b\), \(\mu(a,b)\) is \(\left|\left[a\right] \cap \left[b\right]\right|\), where \(\left[a\right]\) and \(\left[b\right]\) denote the neighborhoods of two nonadjacent vertices \(a\) and \(b\). For strong regular graphs \(\mu (a,b)\) does not depend \(a\) and \(b\). The authors find possible automorphisms of semitriangular graph with \(\mu =7\) and subgraphs of their fixed points.
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strongly regular graph
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automorphism: semitriangular graph
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