Regular groups of automorphisms of cubic graphs

From MaRDI portal
Publication:1249191

DOI10.1016/0095-8956(80)90081-7zbMath0385.05040OpenAlexW2033211381MaRDI QIDQ1249191

Dragomir Ž. Djoković, Gary Lee Miller

Publication date: 1980

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1802/13052




Related Items

A note on automorphism groups of symmetric cubic graphsSymmetric cubic graphs with non-solvable automorphism groupsFinite and infinite vertex-transitive cubic graphs and their distinguishing cost and densityOn symmetries of Cayley graphs and the graphs underlying regular mapsA characterisation of weakly locally projective amalgams related to \(A_{16}\) and the sporadic simple groups \(M_{24}\) and \(He\).Parametrization of Actions of the Automorphism Subgroup of a Cubic Tree onPL(Fp)Tetravalent one-regular graphs of order \(2pq\)On cubic arc-transitive \(k\)-multicirculants with soluble groupsMedial layer graphs of equivelar 4-polytopesA characterization of the Mathieu-Conway-Monster series of locally projective graphsSymmetric cubic graphs of small girthSemisymmetric elementary Abelian covers of the Möbius-Kantor graphCubic vertex-transitive non-Cayley graphs of order \(12p\)A note on solvable vertex stabilizers of s-transitive graphs of prime valencyOne-regular cubic graphs of order a small number times a prime or a prime squareMöbius regular mapsPentavalent symmetric graphs of order \(2p^3\)Tetravalent edge-transitive graphs of girth at most 4Cubic arc-transitive \(k\)-multicirculantsCorrespondences without a coreHexavalent (G, s)-transitive graphsLocally arc-transitive graphs of valence \(\{3,4\}\) with trivial edge kernelFree products with amalgamation of finite groups and finite outer automorphism groups of free groupsArc-transitive cubic Cayley graphs on PSL\((2, p)\)Cubic symmetric graphs of order a small number times a prime or a prime squareOn symmetric and locally finite actions of groups on the quintic treeUnnamed ItemSymmetries in graphs via simplicial automorphismsThere exist no arc-regular prime-valent graphs of order four times an odd square-free integerOn cubic symmetric non-Cayley graphs with solvable automorphism groupsOne-regular graphs of square-free order of prime valencyEdge-transitive dihedral or cyclic covers of cubic symmetric graphs of order \(2p\)Arc-transitive trivalent Cayley graphsArc-transitive dihedral regular covers of cubic graphsOdd extensions of transitive groups via symmetric graphs -- the cubic caseAbelianization and fixed point properties of units in integral group ringsGROUPS ACTING ON TREES WITH PRESCRIBED LOCAL ACTIONIntersection density of cubic symmetric graphsArc-transitive cubic graphs of order four times an odd square-free integerPentavalent symmetric graphs of order \(2pqr\)A classification of tetravalent arc-transitive graphs of order \(5p^2\)On the structure of consistent cycles in cubic symmetric graphsOn a class of finite symmetric graphsOn 2-arc-transitivity of Cayley graphs\(s\)-regular cyclic coverings of the three-dimensional hypercube \(Q_{3}\).On orders of automorphisms of vertex-transitive graphsEdge-transitive bi-Cayley graphsOn 2-arc-transitive graphs of order \(kp^{n}\)Another example of a finitely presented infinite simple groupArc-regular cubic graphs of order four times an odd integerA note on pentavalent \(s\)-transitive graphsVertex-transitive graphs with local action the symmetric group on ordered pairsArc-transitive abelian regular covers of cubic graphsArc-transitive abelian regular covers of the Heawood graphLattices in complete rank 2 Kac-Moody groups.The smallest symmetric cubic graphs with given typeConstruction of one-regular graphs of valency 4 and 6.s-Arc-regular prime-valent Cayley graphs of square-free orderOn the orders of arc-transitive graphsAmalgams Determined By Locally Projective ActionsON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$Symmetric cubic graphs with solvable automorphism groupsAn infinite family of biquasiprimitive 2-arc transitive cubic graphsTETRAVALENT s-TRANSITIVE GRAPHS OF ORDER TWICE A PRIME POWERGroup actions on the cubic treeOn 2-fold covers of graphsTetravalent arc-transitive graphs of order twice a product of two primesPresentations for (G, s)-transitive graphs of small valencyPentavalent One-regular Graphs of Square-free OrderInfinitely many one-regular Cayley graphs on dihedral groups of any prescribed valencyQuasi-semiregular automorphisms of cubic and tetravalent arc-transitive graphsOn symmetric graphs of valency fiveEdge-transitive regular \(Z_n\)-covers of the Heawood graphA census of semisymmetric cubic graphs on up to 768 verticesLocally dihedral amalgams of odd type.Edge-transitive graphs of small order and the answer to a 1967 question by FolkmanA characterisation on arc-transitive graphs of prime valencyLocally projective graphs and their densely embedded subgraphsTetravalent arc-transitive graphs of order \(3p^2\)A refined classification of symmetric cubic graphsMaximal harmonic group actions on finite graphsSymmetric cubic graphs via rigid cellsA complete classification of cubic symmetric graphs of girth 6Confluence of some presentations associated with graphsCubic vertex-transitive graphs of girth sixAutomorphism groups of symmetric graphs of valency 3Lifting a prescribed group of automorphisms of graphsCubic symmetric graphs of order twice an odd prime-powerCubic \(s\)-arc transitive Cayley graphsTetravalent \(s\)-transitive graphs of order \(4p\)Arc-transitive elementary abelian covers of the Pappus graphClassifying cubic symmetric graphs of order \(8p\) or \(8p^2\)Unnamed ItemThe conumerator and the codenominatorCubic core-free symmetric \(m\)-Cayley graphsCharacterising vertex-star transitive and edge-star transitive graphsBridging semisymmetric and half-arc-transitive actions on graphsOn infinite, cubic, vertex-transitive graphs with applications to totally disconnected, locally compact groups



Cites Work