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arxiv: 0712.1622 · v1 · submitted 2007-12-11 · 🧮 math.CO

Primitive decompositions of Johnson graphs

classification 🧮 math.CO
keywords decompositionsgraphsgroupjohnsonpartitionpartstransitiveacts
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A transitive decomposition of a graph is a partition of the edge set together with a group of automorphisms which transitively permutes the parts. In this paper we determine all transitive decompositions of the Johnson graphs such that the group preserving the partition is arc-transitive and acts primitively on the parts.

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