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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.
12
votes
What is this subgroup of $\mathfrak S_{12}$?
Here is the MAGMA code to generate your group:
G:=sub<Sym(12)|(1,3,5,7,9,11)*(2,4,6,8,10,12), (2,12)*(3,11)*(4,10)*(5,9)*(6,8), (2,3)*(5,6)*(8,9)*(11,12)*(4,10)>;
I have a small function written by …
7
votes
polynomials with the same discriminant
If you write your cubic as $p(x) = x^3 + rx^2+sx+t$, then the discriminant is $\Delta=r^2s^2-4s^3-4r^3t-27t^2+18rst$, which is quadratic in $t$. So the fact that $p(x+a) + b$ has the same discrimi …