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Q: Is automorphism of complete graph is a symmetric group?
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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.


What are the symbols of permutation groups?

some examples of symbols for permuation groups are: Sn Cn An These are the symmetric group, the cyclic group and the alternating group of order n. (Alternating group is order n!/2, n>2) One other is the Dihedral group Dn of order 2n.


Is there any connection between Evariste Galois's group theory and symmetry?

There sure is, and a major connection at that.Consider a finite set of n elements. The symmetric group of this set is said to have a degree of n. The symmetric group of degree n (Sn) is the Galois group of the general polynomial of degree n. In order for there to be a formula involving radicals that solve the general polynomial of degree n, such as the quadratic equation when n = 2, that polynomial's corresponding Galois group must be solvable. S5 is not a solvable group. Therefore, the Galois group of the general polynomial of degree 5 is not solvable. Thus the general polynomial of degree 5 has no general formula to solve it using radicals.This was huge result, and one of the first real applications, for group theory, since that problem had stumped mathematicians for centuries.


What is the definition of line graph?

is a graph;that is used to jock down data.(uses dots and connects lines to it)


On graph paper letting 1 foot represent each square draw a rectangle 1'L x 10'W x 22'Perimeter x 10'squared Area?

The question is perhaps a bit confusing, because normally when we use the terms length and width in describing rectangles, the length refers to the longer dimension, and the width to the shorter. Because the question is worded so as to depart from that convention, it is reasonable to revert to the graph paper convention of making widths horizontal (along rows) and lengths vertical (along columns), even if the length is shorter than the width. So that means the answer is to draw along the perimeter of a group of 10 consecutive boxes in a single row on the graph paper.