A refined classification of symmetric cubic graphs
From MaRDI portal
Publication:731241
DOI10.1016/j.jalgebra.2009.03.011zbMath1183.05034OpenAlexW2083489419MaRDI QIDQ731241
Roman Nedela, Marston D. E. Conder
Publication date: 2 October 2009
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.03.011
automorphism groupcubic graphgraph coverarc-transitive graph\(s\)-transitive graphquotient graphedge-stabilizervertex-stabilizer
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items
A note on automorphism groups of symmetric cubic graphs, Symmetric cubic graphs with non-solvable automorphism groups, Flag-transitive block designs with automorphism group \(S_n w r S_2\), Unnamed Item, LDPC codes from cubic semisymmetric graphs, On symmetric and locally finite actions of groups on the quintic tree, Symmetries in graphs via simplicial automorphisms, On cubic symmetric non-Cayley graphs with solvable automorphism groups, Arc-transitive trivalent Cayley graphs, Three local actions in 6‐valent arc‐transitive graphs, Constructing flag-transitive incidence structures, Arc-transitive dihedral regular covers of cubic graphs, Odd extensions of transitive groups via symmetric graphs -- the cubic case, Finite 3-connected-set-homogeneous locally \(2\mathbf{K}_n\) graphs and \(s\)-arc-transitive graphs, Intersection density of cubic symmetric graphs, On the structure of consistent cycles in cubic symmetric graphs, Arc-regular cubic graphs of order four times an odd integer, Arc-transitive abelian regular covers of cubic graphs, Arc-transitive abelian regular covers of the Heawood graph, The smallest symmetric cubic graphs with given type, ON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$, Symmetric cubic graphs with solvable automorphism groups, On 2-fold covers of graphs, Hamiltonian cycles in cubic Cayley graphs: The \(\langle 2,4k,3\rangle \) case, Symmetric cubic graphs via rigid cells, On semisymmetric cubic graphs of order \(20p^2\), \(p\) prime, A complete classification of cubic symmetric graphs of girth 6, Half-arc-transitive graphs and the Fano plane, A classification of cubic \(s\)-regular graphs of order \(14p\), LDPC codes constructed from cubic symmetric graphs, Cubic core-free symmetric \(m\)-Cayley graphs, Vertex-transitive graphs that have no Hamilton decomposition
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The sextet construction for cubic graphs
- Regular groups of automorphisms of cubic graphs
- The Magma algebra system. I: The user language
- Automorphism groups of symmetric graphs of valency 3
- Determination of all regular maps of small genus
- Remarks on path-transitivity in finite graphs
- Determination of a class of primitive permutation groups
- The trivalent symmetric graphs of girth at most six
- On the Symmetry of Cubic Graphs
- GROUPS OF MINIMAL GENUS INCLUDING C2 EXTENSIONS OF PSL(2, q) FOR CERTAIN q
- Generators for Alternating and Symmetric Groups
- My Graph
- Characterisation of Graphs which Underlie Regular Maps on Closed Surfaces
- A new 5‐arc‐transitive cubic graph
- Automorphisms of trivalent graphs
- A new 5‐arc‐transitive cubic graph