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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.
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.
What is the definition of a stem and leaf plot?
It is a graph that basically puts a group of numbers in order.A graph used to organize and display data so that the frequencies can be compared.
What is the Galoisgroup of the field extension of complex numbers over rationals?
The Galois group of the field extension of the complex numbers (\mathbb{C}) over the rational numbers (\mathbb{Q}) is trivial, which means it consists only of the identity element. This is because (\mathbb{C}) is an algebraically closed field, and any nontrivial field automorphism of (\mathbb{C}) would have to fix (\mathbb{Q}) while also permuting roots of polynomials. However, since the only roots of polynomials with coefficients in (\mathbb{Q}) that can exist in (\mathbb{C}) are the roots of unity and these cannot be permuted without affecting the field structure, the only automorphism is the identity. Thus, the Galois group is trivial, denoted as ({ \text{id} }).
What type of graph would be best to show the human blood group frequencies in various populations?
A bar graph would be the best choice to show the human blood group frequencies in various populations. This type of graph allows for easy comparison of the different blood group frequencies across populations, as each population can be represented by a separate bar. Additionally, it visually highlights the differences and similarities in blood group distribution, making the data more accessible and interpretable.
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
