A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
From MaRDI portal
Publication:5500494
DOI10.26493/1855-3974.559.c6czbMath1317.05191arXiv1310.6543OpenAlexW1718680046WikidataQ129355292 ScholiaQ129355292MaRDI QIDQ5500494
Primož Potočnik, Pablo Spiga, Gabriel Verret
Publication date: 6 August 2015
Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.6543
digraphvertex-transitive graphsedge-transitive graphsarc-transitive digraphshalf-arc-transitive graphs
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Group actions on combinatorial structures (05E18)
Related Items (38)
The classification of half-arc-regular bi-circulants of valency 6 ⋮ The classification of half-arc-transitive generalizations of Bouwer graphs ⋮ Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock ⋮ Pentavalent 1-transitive digraphs with non-solvable automorphism groups ⋮ On the minimal degree of a transitive permutation group with stabilizer a 2-group ⋮ Finite and infinite vertex-transitive cubic graphs and their distinguishing cost and density ⋮ Constructing half-arc-transitive graphs of valency four with prescribed vertex stabilizers ⋮ On the radius and the attachment number of tetravalent half-arc-transitive graphs ⋮ A classification of tetravalent half-arc-transitive metacirculants of 2-power orders ⋮ Three local actions in 6‐valent arc‐transitive graphs ⋮ On weakly symmetric graphs of order twice a prime square ⋮ Cubic graphs admitting vertex-transitive almost simple groups ⋮ Classification of quartic half-arc-transitive weak metacirculants of girth at most 4 ⋮ Resolution of a conjecture about linking ring structures ⋮ On tetravalent half-arc-transitive graphs of girth 5 ⋮ On the number of fixed edges of automorphisms of vertex-transitive graphs of small valency ⋮ On the order of vertex-stabilisers in vertex-transitive graphs with local group \(\mathrm{C}_p \times \mathrm{C}_p\) or \(\mathrm{C}_p\, \mathrm{wr}\, \mathrm{C}_2\) ⋮ Edge-transitive bi-Cayley graphs ⋮ Half-arc-transitive graphs of prime-cube order of small valencies ⋮ Finite edge-transitive oriented graphs of valency four: a global approach ⋮ Recipes for edge-transitive tetravalent graphs ⋮ Linking rings structures and semisymmetric graphs: Combinatorial constructions ⋮ New structural results on tetravalent half-arc-transitive graphs ⋮ Generalized Gardiner-Praeger graphs and their symmetries ⋮ Finite 3-set-homogeneous graphs ⋮ Constructing infinitely many half-arc-transitive covers of tetravalent graphs ⋮ Linking rings structures and semisymmetric graphs: Cayley constructions ⋮ Smallest tetravalent half-arc-transitive graphs with the vertex-stabiliser isomorphic to the dihedral group of order 8 ⋮ The separated box product of two digraphs ⋮ Edge-transitive graphs of small order and the answer to a 1967 question by Folkman ⋮ On automorphism groups of deleted wreath products ⋮ Half-arc-transitive graphs of arbitrary even valency greater than 2 ⋮ Four-valent oriented graphs of biquasiprimitive type ⋮ Half-arc-transitive graphs and the Fano plane ⋮ Tetravalent half-arc-transitive \(p\)-graphs ⋮ Bipartite edge-transitive bi-p-metacirculants ⋮ On the number of fixed points of automorphisms of vertex-transitive graphs ⋮ Tetravalent half-arc-transitive graphs of order \(p^5\)
This page was built for publication: A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two