Advanced Search

Question: how to explain the output of the function AutomorphismGroup of graph ?

Question: how to explain the output of the function AutomorphismGroup of graph ?

lcz 994 Maple 2020
graphtheory autocorrelation group
June 17 2020
1

 I want to find AutomorphismGroup  of star S4 (ie, K1,3).

with(GraphTheory):
with(GroupTheory):
with(SpecialGraphs):
S4:=CompleteGraph(1,3);
G1 := AutomorphismGroup(S4); # out is GroupTheory:-PermutationGroup({module() ... end module,module() ... end module},degree=4)

 

 

the S_4 has six automorphisms: (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2,), (3, 2, 1):

GraphAutomorphismStar

For the output of maple ,I cannot understand.

Maybe I don’t understand the group enough. May somebody explain in detail,  Thanks!
Please Wait...