The edge-transitive tetravalent Cayley graphs of square-free order

Li, Cai Heng; Liu, Zhe; Lu, Zai Ping

doi:10.1016/j.disc.2012.03.013

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Introduction2

Cubic Metacirculants1

Ams Mathematics Subject Classification: 20d60 05b251

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Cited by 19 publications

(18 citation statements)

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“…Thus

s d \equiv 1 (\mod n)

for some s coprime to n . Take an automorphism

σ \in Aut (G)

with

a^{σ} = a^{s}

and

b^{σ} = b

, refer to . Then

S^{σ} = {a^{k} b, a^{k^{'}} b, b}

and

Γ ≅ Cay (G, S^{σ})

.…”

Section: Cubic Metacirculantsmentioning

confidence: 99%

Vertex-Transitive Cubic Graphs of Square-Free Order

Wang

2013

J. Graph Theory

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“…Thus

s d \equiv 1 (\mod n)

for some s coprime to n . Take an automorphism

σ \in Aut (G)

with

a^{σ} = a^{s}

and

b^{σ} = b

, refer to . Then

S^{σ} = {a^{k} b, a^{k^{'}} b, b}

and

Γ ≅ Cay (G, S^{σ})

.…”

Section: Cubic Metacirculantsmentioning

confidence: 99%

Vertex-Transitive Cubic Graphs of Square-Free Order

Wang

2013

J. Graph Theory

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“…The class of graphs of square-free order has been studied in some special cases. Further, see [17,[19][20][21] for the case of order four or more distinct primes. The classification of symmetric graphs with order 3p in [32] and some other graphs with order a product of two distinct primes were classified in [22,27,28].…”

Section: Introductionmentioning

confidence: 99%

The Two-Arc-Transitive Graphs of Square-Free Order Admitting Alternating or Symmetric Groups

Wang

2017

J. Aust. Math. Soc.

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“…It was suggested in [10] to study Cayley graphs that are not normal edge-transitive or are normal edge-transitive but are not normal. In [8] the edge-transitive tetravalent Cayley graphs on groups of square-free order were determined.…”

Section: Ams Mathematics Subject Classification: 20d60 05b25mentioning

confidence: 99%