On the Classification of Symmetric Graphs with a Prime Number of Vertices

From MaRDI portal
Publication:5620617

DOI10.2307/1995785zbMath0217.02403OpenAlexW4244789986MaRDI QIDQ5620617

Chong-Yun Chao

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995785



Related Items

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, Constructing one-regular graphs of valency 4\(k\) with non-cyclic vertex stabilizer, Arc-transitive circulant digraphs of odd prime-power order, Pentavalent symmetric graphs of order twice a prime power, Two-character sets arising from gluings of orbits, Tetravalent one-regular graphs of order \(2pq\), Orbit polynomial graphs of prime order, Characterization of self-complementary symmetric digraphs, A critically chromatic graph, Regular maps of graphs of order \(4p\), A classification of 2-arc-transitive circulants, Classification of the pentavalent symmetric graphs of order $8pq$, Tetravalent half-transitive graphs of order \(4p\), On arc-transitive circulant digraphs, On prime-valent symmetric graphs of order four times an odd prime power, On digraphs with circulant adjacent matrices, Automorphism groups and isomorphisms of Cayley digraphs, Symmetric graphs of valency seven and their basic normal quotient graphs, An algebraic characterization of symmetric graphs with a prime number of vertices, Normal edge-transitive Cayley graphs of Frobenius groups, Cubic symmetric graphs of order \(8p^3\), One-regular graphs of square-free order of prime valency, Constructing flag-transitive incidence structures, 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, Pentavalent symmetric graphs of order \(8p^2\), A family of edge-transitive Cayley graphs, Tetravalent \(s\)-transitive graphs of order \(4p ^{2}\), Arc‐transitive bicirculants, Relationships between symmetry-based graph measures, A classification of tetravalent arc-transitive graphs of order \(5p^2\), Tetravalent half-arc-transitive graphs of order \(p^4\), On alternatively connected edge-transitive graphs of square-free order, The group and the minimal polynomial of a graph, Hexavalent edge-transitive graphs of order \(3p^2\), Number of complete subgraphs of peisert graphs and finite field hypergeometric functions, Arc-regular cubic graphs of order four times an odd integer, Pentavalent symmetric graphs of order \(2pq\), Tetravalent edge-transitive Cayley graphs of \({\mathrm{PGL}(2,p)}\), Unnamed Item, Small cutsets in arc-transitive digraphs of prime degree, A class of vertex-transitive digraphs. II, On the orders of arc-transitive graphs, Point-color-symmetric graphs with a prime number of vertices, On arc-transitive Cayley digraphs of out-valency 3, On edge-transitive graphs of square-free order, Symmetric graphs of order four times a prime power and valency seven, TETRAVALENT s-TRANSITIVE GRAPHS OF ORDER TWICE A PRIME POWER, Prime-valent symmetric graphs admitting alternating transitive group, 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 \(9 p\), Tetravalent half-arc-transitive graphs of order \(2pq\), Infinitely many one-regular Cayley graphs on dihedral groups of any prescribed valency, Non-normal one-regular and 4-valent Cayley graphs of dihedral groups \(D_{2n}\), Regular embeddings of complete multipartite graphs, There exists no tetravalent half-arc-transitive graph of order \(2p^{2}\), All self-complementary symmetric graphs, Hexavalent symmetric graphs of order \(9p\), A note on labeled symmetric graphs, Permutation groups with a cyclic regular subgroup and arc transitive circulants., Cubic vertex-transitive graphs of order 2pq, Tetravalent arc-transitive graphs of order \(3p^2\), Cores of Imprimitive Symmetric Graphs of Order a Product of Two Distinct Primes, On automorphisms of direct products of Cayley graphs on abelian groups, An explicit characterization of arc-transitive circulants, Rotational circulant graphs, Finite normal edge-transitive Cayley graphs, Tetravalent half-arc-transitive graphs of order \(8p\), Hexavalent half-arc-transitive graphs of order \(4p\), Tetravalent half-arc-transitive graphs of order $p^2q^2$, A classification of regular embeddings of graphs of order a product of two primes, A class of vertex-transitive digraphs, On the classification and toughness of generalized permutation star-graphs, Tetravalent \(s\)-transitive graphs of order \(4p\), Automorphisms of maps with a given underlying graph and their application to enumeration, Normality of tetravalent Cayley graphs of odd prime-cube order and its application, On the classification of arc-transitive circulant digraphs of order odd-prime-squared, Bridging semisymmetric and half-arc-transitive actions on graphs, On 7-valent symmetric graphs of order \(2pq\) and 11-valent symmetric graphs of order \(4pq\), On weakly symmetric graphs of order twice a prime, Vertex-Transitive Cubic Graphs of Square-Free Order, Vertex-transitive diameter two graphs



Cites Work