On graphs whose local subgraphs are strongly regular with parameters \((115, 18, 1, 3)\) (Q382200)
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scientific article; zbMATH DE number 6228434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On graphs whose local subgraphs are strongly regular with parameters \((115, 18, 1, 3)\) |
scientific article; zbMATH DE number 6228434 |
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On graphs whose local subgraphs are strongly regular with parameters \((115, 18, 1, 3)\) (English)
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18 November 2013
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In this short paper, the author works out a classification of those graphs such that the induced subgraph on neighbours of each vertex is strongly regular with the eponymous parameters. The result of the classification is a list of eight possible distance arrays which such a graph may have, representing diameters 2, 3, and 4. Among tuples of parameter values of strongly regular graphs with \(\lambda = 1\), this is the second smallest whose existence is undecided at present; the smallest is \((99, 14, 1, 2)\), treated by the author in a previous parallel paper.
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