On finite 2-distance-primitive graphs (Q6542011)
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scientific article; zbMATH DE number 7851536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On finite 2-distance-primitive graphs |
scientific article; zbMATH DE number 7851536 |
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On finite 2-distance-primitive graphs (English)
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21 May 2024
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A vertex-transitive graph is called 2-distance-primitive if the vertex stabilizer is primitive on both the first-step and the second-step neighborhoods. The paper under review shows that there are infinitely many 2-distance-primitive graphs with unbounded large valency and diameter, gives a classification of the 2-distance-primitive graphs with valency at most 9, and determines all the 2-distance-primitive graphs with the order of a product of two primes.
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transitive graph
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2-distance-primitive graph
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primitive group
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