Finite symmetric graphs with two-arc transitive quotients

DOI10.1016/j.jctb.2004.11.007zbMath1063.05067OpenAlexW1985745568WikidataQ56987844 ScholiaQ56987844MaRDI QIDQ1775894

Cheryl E. Praeger, Sanming Zhou, Mohammad A. Iranmanesh

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.jctb.2004.11.007

zbMATH Keywords

quotient graphthree-arc graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (24)

Vertex-imprimitive symmetric graphs with exactly one edge between any two distinct blocks ⋮ Unitary graphs and classification of a family of symmetric graphs with complete quotients ⋮ A construction of imprimitive symmetric graphs which are not multicovers of their quotients ⋮ On a class of finite symmetric graphs ⋮ A study of 3-arc graphs ⋮ Finite symmetric graphs with 2-arc-transitive quotients: general affine case ⋮ Arc-transitive elementary Abelian covers of the octahedron graph ⋮ On 2-fold covers of graphs ⋮ Affine flag graphs and classification of a family of symmetric graphs with complete quotients ⋮ SYMMETRIC GRAPHS WITH 2-ARC TRANSITIVE QUOTIENTS ⋮ SOLUTION TO A QUESTION ON A FAMILY OF IMPRIMITIVE SYMMETRIC GRAPHS ⋮ A local analysis of imprimitive symmetric graphs ⋮ FINITE SYMMETRIC GRAPHS WITH 2-ARC-TRANSITIVE QUOTIENTS: AFFINE CASE ⋮ Hadwiger's conjecture for 3-arc graphs ⋮ A class of symmetric graphs with 2-arc transitive quotients ⋮ \(k\)-CS-transitive infinite graphs ⋮ A complete classification of cubic symmetric graphs of girth 6 ⋮ Hamiltonicity of 3-arc graphs ⋮ Symmetric graphs with complete quotients ⋮ Imprimitive symmetric graphs with cyclic blocks ⋮ Classification of a family of symmetric graphs with complete 2-arc-transitive quotients ⋮ Diameter and connectivity of 3-arc graphs ⋮ Arc-transitive elementary abelian covers of the Pappus graph ⋮ Three-arc graphs: characterization and domination

Cites Work

• A family of quasiprimitive 2-arc transitive graphs which have non-quasiprimitive full automorphism groups
• A family of non-quasiprimitive graphs admitting a quasiprimitive 2-arc transitive group action
• On 2-arc-transitive Cayley graphs of abelian groups
• Imprimitive symmetric graphs, 3-arc graphs and 1-designs
• Symmetric graphs and flag graphs
• On 2-arc-transitivity of Cayley graphs
• A classification of 2-arc-transitive circulant digraphs
• Constructing a class of symmetric graphs
• A classification of 2-arc-transitive circulants
• Remarks on path-transitivity in finite graphs
• Almost covers of 2-arc transitive graphs
• Classifying a family of symmetric graphs
• On the Symmetry of Cubic Graphs
• Fintte two-arc transitive graphs admitting a suzuki simple group
• Finite two-are transitive graphs admitting a ree simple group
• A class of finite symmetric graphs with 2-arc transitive quotients
• A Geometrical Approach to Imprimitive Graphs
• A new 5‐arc‐transitive cubic graph
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