A family of edge-transitive Frobenius metacirculants of small valency

Authors:
Shu Jiao Song;Cai Heng Li;Dian Jun Wang
Affiliations:
Department of Mathematics, Beijing Jiaotong University, Beijing 100044, PR China and Department of Mathematical Sciences, Tsing Hua University, Beijing 100084, PR China;School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, PR China and Centre for the Mathematics of Symmetry and Computation, School of Mathematics and Statistics, The Univ ...;Department of Mathematical Sciences, Tsing Hua University, Beijing 100084, PR China
Venue:
European Journal of Combinatorics
Year:
2013

Citing 14
Cited 0

Symmetric graphs of order a product of two distinct primes

Journal of Combinatorial Theory Series B
Vertex-primitive graphs of order a product of two distinct primes

Journal of Combinatorial Theory Series B
Half-Transitive Graphs of Prime-Cube Order

Journal of Algebraic Combinatorics: An International Journal
1/2-Transitive Graphs of Order 3p

Journal of Algebraic Combinatorics: An International Journal
A Classification of 2-Arc-Transitive Circulants

Journal of Algebraic Combinatorics: An International Journal
Half-transitivity of some metacirculants

Discrete Mathematics
Recent developments in half-transitive graphs

Discrete Mathematics - Special issue on Graph theory
Maps and half-transitive graphs of valency 4

European Journal of Combinatorics
On half-transitive metacirculant graphs of prime-power order

Journal of Combinatorial Theory Series B
Classifying Arc-Transitive Circulants

Journal of Algebraic Combinatorics: An International Journal
Permutation Groups with a Cyclic Regular Subgroup and Arc Transitive Circulants

Journal of Algebraic Combinatorics: An International Journal
On quartic half-arc-transitive metacirculants

Journal of Algebraic Combinatorics: An International Journal
Classification of 2-arc-transitive dihedrants

Journal of Combinatorial Theory Series B
Classifying a family of edge-transitive metacirculant graphs

Journal of Algebraic Combinatorics: An International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

A classification is given for a family of edge-transitive metacirculants of Frobenius groups Z"n:Z"m of odd order and small valency. In particular, it is shown that, for such a graph @C, either Aut@C is soluble and @C is half-transitive, or Aut@C=PSL(2,p) or PGL(2,p), and @C is a known graph of order pq with p and q=p-12 both primes. This leads to new construction of half-transitive graphs.