Locally triangular graphs and rectagraphs with symmetry

@article{Bamberg2015LocallyTG,
  title={Locally triangular graphs and rectagraphs with symmetry},
  author={John Bamberg and Alice Devillers and Joanna B. Fawcett and C. Praeger},
  journal={J. Comb. Theory, Ser. A},
  year={2015},
  volume={133},
  pages={1-28}
}
Abstract Locally triangular graphs are known to be halved graphs of bipartite rectagraphs, which are connected triangle-free graphs in which every 2-arc lies in a unique quadrangle. A graph Γ is locally rank 3 if there exists G ⩽ Aut ( Γ ) such that for each vertex u , the permutation group induced by the vertex stabiliser G u on the neighbourhood Γ ( u ) is transitive of rank 3. One natural place to seek locally rank 3 graphs is among the locally triangular graphs, where every induced… Expand
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References

SHOWING 1-10 OF 37 REFERENCES
Local 2-geodesic transitivity and clique graphs
Analysing Finite Locally s-arc Transitive Graphs
Suborbits in Transitive Permutation Groups
Locally s-arc-transitive graphs related to sporadic simple groups
On Finite Affine 2-Arc Transitive Graphs
Rectagraphs, Diagrams, and Suzuki's Sporadic Simple Group
Locally petersen graphs
  • J. Hall
  • Mathematics, Computer Science
  • J. Graph Theory
  • 1980
Permutation Groups
On the uniqueness of a certain thin near octagon (or partial 2-geometry, or parallelism) derived from the binary Golay code
  • A. Brouwer
  • Mathematics, Computer Science
  • IEEE Trans. Inf. Theory
  • 1983
...
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3
4
...