answersLogoWhite

0

The automorphism group of a complete bipartite graph K_n,n is (S_n x S_n) semidirect Z_2.

User Avatar

Wiki User

14y ago

What else can I help you with?

Related Questions

Is automorphism of complete graph is a symmetric group?

Yes!


What is the automorphism group of a complete graph?

The automorphism group of a complete graph ( K_n ) (where ( n ) is the number of vertices) is the symmetric group ( S_n ). This is because any permutation of the vertices of ( K_n ) results in an isomorphic graph, as all vertices are equivalent in a complete graph. Therefore, the automorphism group consists of all possible ways to rearrange the vertices, corresponding to the ( n! ) permutations of the ( n ) vertices.


Is there a graph whose automorphism group is exactly Z5 If so what is it?

Frucht Theorem: Each finite group is realized as full automorphism group of a graph. The proof is constructive, so you can obtain your graph For instance: add 5-rays of different length to a 5-cycle.


The group of a composite graph?

defines in graph theory defines in graph theory


What does a pie graph show?

The composition of a group


What type of graph is best for comparing information belonging to one graph?

A pie chart graph is best for comparing information belonging to one group. The whole group is represented by the entire circle. It is best for comparing one difference within the group, such as ages.


Is a time graph the same as a line graph?

No. A time graph is a special type of line graph. A line graph can represent any two variables such as height and weight of a group of people. Nothing to do with time.


Which graph or graphs would be best for showing the favorite games of a group of students?

bar or pie graph


Does a pie graph show the composition of a group or correlation or change over time?

Composition of a group.


What type of graph is best for comparing information belonging to one group?

A pie chart graph is best for comparing information belonging to one group. The whole group is represented by the entire circle. It is best for comparing one difference within the group, such as ages.


Which would be the best graph for displaying parts of a group to a whole group?

A pie chart or stacked bars.


What was it like working in a group to complete the task?

What is it like working in a group to complete the task