Primitive decompositions of Johnson graphs

Details Primitive decompositions of Johnson graphs Primitive decompositions of Johnson graphs

2007-12-11

arxiv.org/abs/0712.1622v1

Mathematics

Combinatorics

35 pages

Scientific paper

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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