On weakly symmetric graphs of order twice a prime
From MaRDI portal
Publication:1069953
DOI10.1016/0095-8956(87)90040-2zbMath0583.05032OpenAlexW2044439229MaRDI QIDQ1069953
Publication date: 1987
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0095-8956(87)90040-2
automorphism groupfinite simple groupsvertex transitive graphedge transitive graphweakly symmetric graphs
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)
Related Items (only showing first 100 items - show all)
Classification of the pentavalent symmetric graphs of order $8pq$ ⋮ Two-arc-transitive bicirculants ⋮ Constructing flag-transitive incidence structures ⋮ Pentavalent symmetric graphs of order \(8p^2\) ⋮ Arc‐transitive bicirculants ⋮ On edge-transitive metacyclic covers of cubic arc-transitive graphs of order twice a prime ⋮ Classifying cubic symmetric graphs of order 52p2; pp. 55–60 ⋮ Hexavalent edge-transitive graphs of order \(3p^2\) ⋮ Biprimitive edge-transitive pentavalent graphs ⋮ Unnamed Item ⋮ Bipartite edge-transitive bi-p-metacirculants ⋮ Tetravalent half-arc-transitive graphs of order $p^2q^2$ ⋮ The Weisfeiler-Leman algorithm and recognition of graph properties ⋮ On symmetric graphs of order four times an odd square-free integer and valency seven ⋮ Tetravalent half-arc-transitive graphs of order a product of three primes ⋮ Tetravalent half-edge-transitive graphs and non-normal Cayley graphs ⋮ Constructing one-regular graphs of valency 4\(k\) with non-cyclic vertex stabilizer ⋮ Pentavalent symmetric graphs of order twice a prime power ⋮ FINITE TWO-DISTANCE-TRANSITIVE DIHEDRANTS ⋮ Tetravalent one-regular graphs of order \(2pq\) ⋮ Cubic vertex-transitive non-Cayley graphs of order \(12p\) ⋮ One-regular cubic graphs of order a small number times a prime or a prime square ⋮ Pentavalent symmetric graphs of order \(2p^3\) ⋮ Super cyclically edge-connected vertex-transitive graphs of girth at least 5 ⋮ Tetravalent vertex-transitive graphs of order twice a prime square ⋮ Super-cyclically edge-connected regular graphs ⋮ Cubic edge-transitive graphs of order \(2^np\) ⋮ Classifying cubic symmetric graphs of order \(10p\) or \(10p^{2}\) ⋮ On arc-transitive metacyclic covers of graphs with order twice a prime ⋮ Regular maps of graphs of order \(4p\) ⋮ Cubic arc-transitive Cayley graphs on Frobenius groups ⋮ Tetravalent half-transitive graphs of order \(4p\) ⋮ Vertex primitive graphs of order containing a large prime factor* ⋮ On prime-valent symmetric graphs of order four times an odd prime power ⋮ Cubic edge-transitive bi-\(p\)-metacirculants ⋮ Automorphism groups and isomorphisms of Cayley digraphs ⋮ Symmetric graphs of valency seven and their basic normal quotient graphs ⋮ Cubic symmetric graphs of order a small number times a prime or a prime square ⋮ Unnamed Item ⋮ Cubic symmetric graphs of order \(8p^3\) ⋮ One-regular graphs of square-free order of prime valency ⋮ Edge-transitive dihedral or cyclic covers of cubic symmetric graphs of order \(2p\) ⋮ On weakly symmetric graphs of order twice a prime square ⋮ The vertex-transitive and edge-transitive tetravalent graphs of square-free order ⋮ Arc-transitive cubic graphs of order four times an odd square-free integer ⋮ A family of edge-transitive Cayley graphs ⋮ Tetravalent \(s\)-transitive graphs of order \(4p ^{2}\) ⋮ Pentavalent vertex-transitive diameter two graphs ⋮ Pentavalent symmetric graphs of order \(2pqr\) ⋮ A classification of tetravalent arc-transitive graphs of order \(5p^2\) ⋮ Tetravalent half-arc-transitive graphs of order \(p^4\) ⋮ Cubic arc-transitive Cayley graphs on Frobenius groups ⋮ On alternatively connected edge-transitive graphs of square-free order ⋮ \(s\)-regular cyclic coverings of the three-dimensional hypercube \(Q_{3}\). ⋮ THE TWO-ARC-TRANSITIVE GRAPHS OF SQUARE-FREE ORDER ADMITTING ALTERNATING OR SYMMETRIC GROUPS ⋮ Edge-transitive bi-Cayley graphs ⋮ Half-arc-transitive graphs of prime-cube order of small valencies ⋮ Arc-regular cubic graphs of order four times an odd integer ⋮ Pentavalent symmetric graphs of order \(2pq\) ⋮ Locally primitive Cayley graphs of dihedral groups ⋮ On prime-valent symmetric graphs of square-free order ⋮ Infinitely many finite one-regular graphs of any even valency. ⋮ On the orders of arc-transitive graphs ⋮ Edge-transitive cyclic regular covers of the Möbius-Kantor graph ⋮ Arc-transitive cyclic and dihedral covers of pentavalent symmetric graphs of order twice a prime ⋮ Symmetric cubic graphs with solvable automorphism groups ⋮ On edge-transitive graphs of square-free order ⋮ Arc-transitive regular cyclic covers of the complete bipartite graph \(\mathsf{K}_{p,p}\) ⋮ Symmetric graphs of order four times a prime power and valency seven ⋮ Cubic one-regular graphs of order twice a square-free integer ⋮ Arc-transitive pentavalent graphs of square-free order ⋮ TETRAVALENT s-TRANSITIVE GRAPHS OF ORDER TWICE A PRIME POWER ⋮ Arc-transitive cyclic covers of graphs with order twice a prime ⋮ Finite edge-transitive bi-circulants ⋮ Prime-valent symmetric graphs admitting alternating transitive group ⋮ Tetravalent vertex‐transitive graphs of order 4p ⋮ Pentavalent symmetric graphs of order 16p ⋮ No hexavalent half-arc-transitive graphs of order twice a prime square exist ⋮ Hexavalent half-arc-transitive graphs of order \(9 p\) ⋮ Pentavalent One-regular Graphs of Square-free Order ⋮ Tetravalent half-arc-transitive graphs of order \(2pq\) ⋮ Infinitely many one-regular Cayley graphs on dihedral groups of any prescribed valency ⋮ Nonorientable regular embeddings of graphs of order \(pq\) ⋮ There exists no tetravalent half-arc-transitive graph of order \(2p^{2}\) ⋮ On symmetric graphs of valency five ⋮ Edge-transitive regular \(Z_n\)-covers of the Heawood graph ⋮ Hexavalent symmetric graphs of order \(9p\) ⋮ Cubic semisymmetric graphs of order \(2qp^2\) ⋮ One-regular normal Cayley graphs on dihedral groups of valency 4 or 6 with cyclic vertex stabilizer ⋮ Cubic vertex-transitive graphs of order 2pq ⋮ Classification of the pentavalent symmetric graphs of order \(18p\) ⋮ Tetravalent arc-transitive graphs of order \(3p^2\) ⋮ Classification of half-arc-transitive graphs of order \(4p\) ⋮ Cores of Imprimitive Symmetric Graphs of Order a Product of Two Distinct Primes ⋮ Edge-primitive Cayley graphs on abelian groups and dihedral groups ⋮ Tetravalent half-arc-transitive graphs of order \(8p\) ⋮ Hexavalent half-arc-transitive graphs of order \(4p\) ⋮ A classification of cubic \(s\)-regular graphs of order 16\(p\) ⋮ Symmetric graphs of valency five and their basic normal quotients ⋮ Cubic semisymmetric graphs of order \(8p ^{3}\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On vertex symmetric digraphs
- Construction of quartic graphs
- Primitive Permutation Groups Containing an Element of Large Prime Order
- A graph which is edge transitive but not arc transitive
- Finite Permutation Groups and Finite Simple Groups
- Transitive Graphs With Fewer Than Twenty Vertices
- Point-symmetric graphs with a prime number of points
- On the Classification of Symmetric Graphs with a Prime Number of Vertices
- An algebraic characterization of symmetric graphs with a prime number of vertices
This page was built for publication: On weakly symmetric graphs of order twice a prime