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3
votes
1answer
61 views

Programmatically recognizing symmetries of a polyhedron

I'm programming something, but I'm stuck at something which more math-oriented people probably can help me with. I am giving a polyhedron in the following form: for each vertex I get the cyclic order ...
1
vote
3answers
58 views

Equivalence Graphs

On the basis of this definition: Two graphs are equivalent if they have the same set of edges (ex. (A,B),(A,C)) how would you determine equivalence for graphs that are not labelled: ex.
0
votes
1answer
48 views

Re-arrange expression to transformation form

$$\frac{6x-5}{3x+1}$$ How do you write this in the form $$\frac{b}{x+c} + a$$ I know how to find a (2) by asymptote theory, but I don't know how to re-arrange to find B.
1
vote
0answers
22 views

One dimensional binary string with periodic boundaries and reflection

I have a binary string $l=(l_1,l_2,\ldots,l_{2n})$ with $l\in\{0,1\}$ and the conditions $l_i \cdot l_{i+n}=0$ for all $i$ and $\sum l_i=n$. Now, I was wondering how many distinct string exist, when a ...
1
vote
0answers
55 views

Types of symmetry for combinatorial graphs

Let $G$ be an undirected, connected graph without loops. Let's call $G$ symmetric iff it has a non-trivial automorphism (that is a permutation $\pi : V(G) \rightarrow V(G) $ – which is not the ...
1
vote
0answers
254 views

Help with Hermitian Symmetry and its inverse Fourier transform in MATLAB.

I have tried to impose Hermitian symmetry on the complex number $z$ which is varies with $x$. I need to take its inverse Fourier transform. A hermitian symmetry should give a real valued inverse FT. ...
2
votes
2answers
67 views

Determine no. elements in $ \operatorname{Aut}(H)$ where $H$ is the 6 point/5line graph in the shape of H

Determine the amount of automorphisms in the group $\operatorname{Aut}(H)$ where $H$ is the graph with 6 points and five lines in the shape of a capital 'H'. Here is what it should look like, I ...
4
votes
0answers
107 views

How do you call functions that fulfill $f(x)=\pm f(\pm 1/x)$?

A function $f(x)$ that fulfills $f(x)=\pm f(-x)$ is called (a)symmetric even/odd. How do you call functions that fulfill $f(x)=\color{blue}\pm f(\color{red}\pm 1/x)$? ...
4
votes
2answers
214 views

Graphs whose automorphism group is the cyclic group

I would like a good hint for the following problem that takes into account the position at which I am stuck. The problem is as follows Let $\mathbb{Z}_n$ be the cyclic group of order $n.$ Find a ...