There are only finitely many finite distance-transitive graphs of given valency greater than two

Peter J. Cameron

doi:10.1007/BF02579277

There are only finitely many finite distance-transitive graphs of given valency greater than two

Peter J. Cameron^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The result of the title is proved, assuming the truth of Sims' conjecture on primitive permutation groups (which has recently been established using the classification of finite simple groups). An alternative approach to this result, using less group theory but relying on a theorem of Macpherson on infinite distance-transitive graphs, is explored.

Original language	English
Pages (from-to)	9-13
Number of pages	5
Journal	Combinatorica
Volume	2
Issue number	1
DOIs	https://doi.org/10.1007/BF02579277
Publication status	Published - 1 Mar 1982

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AMS subject classification (1980): 05C25

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title = "There are only finitely many finite distance-transitive graphs of given valency greater than two",

abstract = "The result of the title is proved, assuming the truth of Sims' conjecture on primitive permutation groups (which has recently been established using the classification of finite simple groups). An alternative approach to this result, using less group theory but relying on a theorem of Macpherson on infinite distance-transitive graphs, is explored.",

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AB - The result of the title is proved, assuming the truth of Sims' conjecture on primitive permutation groups (which has recently been established using the classification of finite simple groups). An alternative approach to this result, using less group theory but relying on a theorem of Macpherson on infinite distance-transitive graphs, is explored.

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There are only finitely many finite distance-transitive graphs of given valency greater than two

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