Analysing finite locally 𝑠-arc transitive graphs
From MaRDI portal
Publication:4429748
DOI10.1090/S0002-9947-03-03361-0zbMath1022.05033OpenAlexW1829792917MaRDI QIDQ4429748
Cai Heng Li, Michael Giudici, Cheryl E. Praeger
Publication date: 28 September 2003
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03361-0
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items
On symmetric graphs of order four times an odd square-free integer and valency seven, Locally 3-arc-transitive regular covers of complete bipartite graphs, The graphs with a symmetrical Euler cycle, Semisymmetric graphs admitting primitive groups of degree \(9p\), ON ARC-REGULAR FROBENIUS METACIRCULANTS, On arc-transitive metacyclic covers of graphs with order twice a prime, On top locally-\(s\)-distance-transitive graphs, A new family of geodesic transitive graphs, A new family of locally 5-arc transitive graphs, Finite Locally-quasiprimitive Graphs, Base graph-connection graph: dissection and construction, PENTAVALENT SYMMETRIC GRAPHS OF ORDER, On prime-valent symmetric graphs of order four times an odd prime power, Locally arc-transitive graphs of valence \(\{3,4\}\) with trivial edge kernel, Generalised voltage graphs, Semisymmetric graphs from polytopes, Symmetric graphs of valency seven and their basic normal quotient graphs, Finite vertex-biprimitive edge-transitive tetravalent graphs, Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method, Pentavalent Symmetric Graphs of Order Twice a Prime Square, Symmetric bi-Cayley graphs on nonabelian simple groups with prime valency, Semisymmetric graphs of order \(6p ^{2}\) and prime valency, Local 2-geodesic transitivity of graphs, Finite \(s\)-geodesic transitive graphs which are locally disconnected, Pentavalent semisymmetric graphs of square‐free order, A new infinite family of star normal quotient graphs of twisted wreath type, The locally 2-arc transitive graphs admitting an almost simple group of Suzuki type, Arc‐transitive bicirculants, On automorphism groups of bi-quasiprimitive 2-arc-transitive graphs, A family of \(2\)-groups and an associated family of semisymmetric, locally \(2\)-arc-transitive graphs, On alternatively connected edge-transitive graphs of square-free order, Quotients of incidence geometries, A classification of finite antiflag-transitive generalized quadrangles, On locally primitive graphs of order \(18p\), On basic 2-arc-transitive graphs, Biprimitive edge-transitive pentavalent graphs, Basic and degenerate pregeometries, The edge-transitive tetravalent Cayley graphs of square-free order, Locally 3-Transitive Graphs of Girth 4, Locally primitive Cayley graphs of dihedral groups, On prime-valent symmetric graphs of square-free order, Countable locally 2-arc-transitive bipartite graphs, Normal quotients of diameter at most two of finite three-geodesic-transitive graphs, Two-distance-primitive graphs, Symmetry properties of subdivision graphs, Finite 3-set-homogeneous graphs, On edge-transitive cubic graphs of square-free order, An infinite family of biquasiprimitive 2-arc transitive cubic graphs, On edge-transitive graphs of square-free order, Arc-transitive regular cyclic covers of the complete bipartite graph \(\mathsf{K}_{p,p}\), Finite 2-arc-transitive abelian Cayley graphs, Symmetric graphs of prime valency associated with some almost simple groups, Arc-transitive pentavalent graphs of square-free order, Arc-transitive elementary Abelian covers of the octahedron graph, Two-geodesic-transitive graphs which are locally connected, Arc-transitive cyclic covers of graphs with order twice a prime, Finite edge-transitive bi-circulants, Pentavalent symmetric graphs of order 16p, On 2-fold covers of graphs, Basic coset geometries, Finite locally primitive abelian Cayley graphs, On 2-arc-transitive representations of the groups of fourth-power-free order, Some locally 3-arc transitive graphs constructed from triality, The locally 2-arc transitive graphs admitting a Ree simple group, Locally \(s\)-arc transitive graphs with two different quasiprimitive actions, 2-closures of primitive permutation groups of holomorph type, Locally \(s\)-arc-transitive graphs related to sporadic simple groups, Arc-transitive graphs of square-free order and small valency, A classification of finite locally 2-transitive generalized quadrangles, On edge-primitive 2-arc-transitive graphs, Construction of some uncountable 2-arc-transitive bipartite graphs, A 2-ARC TRANSITIVE PENTAVALENT CAYLEY GRAPH OF, LOCALLY PRIMITIVE GRAPHS AND BIDIRECT PRODUCTS OF GRAPHS, Locally s-distance transitive graphs, Characterizing finite locally s-arc transitive graphs with a star normal quotient, Arc-transitive elementary abelian covers of the Pappus graph, -TRANSITIVE DIGRAPHS PRESERVING A CARTESIAN DECOMPOSITION, Characterising vertex-star transitive and edge-star transitive graphs, Tetravalent edge-transitive Cayley graphs with odd number of vertices, Locally triangular graphs and rectagraphs with symmetry, Locally s-arc-transitive graphs arising from product action, On locally primitive symmetric graph of valency twice prime
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-arc transitive graphs and twisted wreath products
- On graphs with edge-transitive automorphism groups
- The nonexistence of 8-transitive graphs
- Biprimitive graphs of smallest order
- On finite affine 2-arc transitive graphs
- Finite locally-quasiprimitive graphs
- Some locally 3-arc transitive graphs constructed from triality
- The locally 2-arc transitive graphs admitting a Ree simple group
- On finite \(s\)-transitive graphs of odd order
- Vertex-transitive graphs
- On regular graphs. III
- The finite vertex-primitive and vertex-biprimitive $s$-transitive graphs for $s\ge 4$
- Finite s -Arc Transitive Graphs of Prime-Power Order
- On the Symmetry of Cubic Graphs
- An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
- Characterizing finite locally s-arc transitive graphs with a star normal quotient
- A classification of semisymmetric graphs of order 2pq
- On the Weiss conjecture for finite locally primitive graphs
- Regular line-symmetric graphs
- PRIMITIVE AND IMPRIMITIVE GRAPHS
- Automorphisms of trivalent graphs