# Locally triangular graphs and rectagraphs with symmetry

@article{Bamberg2014LocallyTG, title={Locally triangular graphs and rectagraphs with symmetry}, author={John Bamberg and Alice Devillers and Joanna B. Fawcett and Cheryl E. Praeger}, journal={J. Comb. Theory, Ser. A}, year={2014}, volume={133}, pages={1-28} }

## 7 Citations

### Finite $3$-connected homogeneous graphs

- Mathematics
- 2018

A finite graph $\G$ is said to be {\em $(G,3)$-$($connected$)$ homogeneous} if every isomorphism between any two isomorphic (connected) subgraphs of order at most $3$ extends to an automorphism $g\in…

### Locally triangular graphs and normal quotients of the n-cube

- MathematicsJournal of Algebraic Combinatorics
- 2015

For an integer n≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}…

### Locally triangular graphs and normal quotients of the n-cube

- Mathematics
- 2015

For an integer $$n\ge 2$$n≥2, the triangular graph has vertex set the 2-subsets of $$\{1,\ldots ,n\}$${1,…,n} and edge set the pairs of 2-subsets intersecting at one point. Such graphs are known to…

## References

SHOWING 1-10 OF 38 REFERENCES

### Analysing Finite Locally s-arc Transitive Graphs

- Mathematics
- 2003

We present a new approach to analysing finite graphs which admit a vertex intransitive group of automorphisms G and are either locally (G, s)-arc transitive for s > 2 or G-locally primitive. Such…

### Suborbits in Transitive Permutation Groups

- Mathematics
- 1975

With any graph we can associate a group, namely its automorphism group; this acts naturally as a permutation group on the vertices of the graph. The converse idea, that of reconstructing a graph (or…

### On Finite Affine 2-Arc Transitive Graphs

- MathematicsEur. J. Comb.
- 1993

This paper gives a classification of all primitive affine 2-arc transitive graphs, and all finite 'bi-primitive' affine 1-arctransitive graphs such that the stabilizer of the bipartition of the vertices is primitive on each part of the antipartition.

### 1-Homogeneous Graphs with Cocktail Party μ-Graphs

- Mathematics
- 2003

Let Γ be a graph with diameter d ≥ 2. Recall Γ is 1-homogeneous (in the sense of Nomura) whenever for every edge xy of Γ the distance partition{{z ∈ V(Γ) | ∂(z, y) = i, ∂(x, z) = j} | 0 ≤ i, j ≤ d}is…

### On the uniqueness of a certain thin near octagon (or partial 2-geometry, or parallelism) derived from the binary Golay code

- MathematicsIEEE Trans. Inf. Theory
- 1983

A more general theorem is proved, showing the truth of a conjecture by Cameron, that these questions of the uniqueness of a certain combinatorial structure are equivalent and give an affirmative answer.

### k-Homogeneous groups

- Mathematics
- 1972

Theorem 1. Let G be a group k-homogeneous but not k-transitive on a finite set f2 of n points, where n>=2k. Then, up to permutation isomorphism, one of the following holds: (i) k = 2 and G < AFL(1,…

### Transitivity of finite permutation groups on unordered

- Mathematics
- 1965

From any given permutation group acting on a finite collection of n points one can form, for each positive integer k<=n, two permutation groups by considering respectively the permutations induced by…

### Classification of a class of distance-regular graphs via completely regular codes

- Computer Science, MathematicsDiscret. Appl. Math.
- 1990