Constructing ½-arc-transitive graphs of valency 4 and vertex stabilizer Z2× Z2

Authors:
Aleksander Malnic;Dragan Marusic
Affiliations:
IMFM, Oddelek za matematiko, Univerza v Ljubljani, Jadranska 19, 1111 Ljubljana, Slovenia;IMFM, Oddelek za matematiko, Univerza v Ljubljani, Jadranska 19, 1111 Ljubljana, Slovenia
Venue:
Discrete Mathematics
Year:
2002

Citing 8
Cited 7

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
Remarks on path-transitivity in finite graphs

European Journal of Combinatorics
A family of one-regular graphs of valency 4

European Journal of Combinatorics
Half-transitivity of some metacirculants

Discrete Mathematics
Half-transitive group actions on finite graphs of valency 4

Journal of Combinatorial Theory Series B
Constructing 4-valent 12 -transitive graphs with a nonsolvable automorphism group

Journal of Combinatorial Theory Series B
Tetravalent graphs admitting half-transitive group actions: alternating cycles

Journal of Combinatorial Theory Series B

Tetravalent half-transitive graphs of order 4p

European Journal of Combinatorics
Constructing even radius tightly attached half-arc-transitive graphs of valency four

Journal of Algebraic Combinatorics: An International Journal
Tetravalent half-arc-transitive graphs of order p4

European Journal of Combinatorics
A classification of tightly attached half-arc-transitive graphs of valency 4

Journal of Combinatorial Theory Series B
Hexavalent half-arc-transitive graphs of order 4p

European Journal of Combinatorics
An infinite family of half-arc-transitive graphs with universal reachability relation

European Journal of Combinatorics
Tetravalent half-arc-transitive graphs of order 2pq

Journal of Algebraic Combinatorics: An International Journal

Quantified Score

Hi-index	0.05

Visualization

Abstract

An infinite familiy of ½-arc-transitive graphs of valency 4 with alternating cycles of length 4 is given. Besides, an infinite family of ½-arc-transitive graphs of valency 4 with vertex stabilizer isomorphic to Z2 × Z2 is constructed.