TY - JOUR
T1 - The vertex-transitive and edge-transitive tetravalent graphs of square-free order
AU - Li, Cai-Heng
AU - Lu, Z.P.
AU - Wang, G.X.
PY - 2015
Y1 - 2015
N2 - © 2014, Springer Science+Business Media New York. In this paper, a classification is given for tetravalent graphs of square-free order which are vertex-transitive and edge-transitive. It is shown that such graphs are Cayley graphs, edge-regular metacirculants and covers of some graphs arisen from simple groups $$\mathrm{A}_7$$A7, $$\mathrm{J}_1$$J1 and $$\mathrm{PSL}(2,p)$$PSL(2,p).
AB - © 2014, Springer Science+Business Media New York. In this paper, a classification is given for tetravalent graphs of square-free order which are vertex-transitive and edge-transitive. It is shown that such graphs are Cayley graphs, edge-regular metacirculants and covers of some graphs arisen from simple groups $$\mathrm{A}_7$$A7, $$\mathrm{J}_1$$J1 and $$\mathrm{PSL}(2,p)$$PSL(2,p).
UR - https://www.scopus.com/pages/publications/84934764255
U2 - 10.1007/s10801-014-0572-z
DO - 10.1007/s10801-014-0572-z
M3 - Article
SN - 0925-9899
VL - 42
SP - 25
EP - 50
JO - Journal of Algebraic Combinatorics
JF - Journal of Algebraic Combinatorics
IS - 1
ER -