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bio website mathoverflow.net/users/19885/…
location Between Two Moments
age
visits member for 3 years, 8 months
seen 10 hours ago

$T$. $S$. $Eliot$, Introduction to Dante's Inferno: " Hell is a place where nothing connects with nothing. "

$Johann$ $von$ $Neumann$: " In mathematics you don't understand things, You just get used to them. "

$A$. $A$. $Zinoviev$: " Where there are problems, there is life. "

$P$. $R$. $Halmos$: "I do believe that problems are the heart of mathematics, and I hope that as teachers, in the classroom, in seminars, and in the books and articles we write, we will emphasize them more and more, and that we will train our students to be better problem-posers and problem-solvers than we are. "

$Shahrooz$: " Physics is mirror front of universe, but mathematics is the rules of reflection. "


1d
comment Existence of finite set of points in the revolving circles
@Bogdanov, thanks for your contribution and nice picture. But I still can not understand how your proof work in general! You claim that such distribution of finite points that can be the answer of my main question, there does not exist? yes? Sice, if the final statement of my question be true, this means that such points does not exist. Also, note that in my main question, the two big interior circles have odd parity, not even parity.
1d
comment Existence of finite set of points in the revolving circles
@Bogdanov, I mentioned about the raduces at the begining of the question. I am so curious to see your picture.
1d
comment Existence of finite set of points in the revolving circles
The circles $C_i$ is in the circle $C$ and also all of them are tongent. I can not understand how you claim the radii of circles $C_1$ and $C_2$ are not fix. When you fix $n$, all radiuces are fixed. Can you draw a picture for such distribution of points?
Aug
23
answered Effects of many degree-2 variable nodes in the Tanner graph during the decoding of LDPC codes
Aug
20
awarded  Explainer
Aug
19
revised Integral roots of circulant matrix
Corrected one mistake
Aug
19
revised Integral roots of circulant matrix
Improved formatting, Corrected some symbols and sentences
Aug
19
suggested approved edit on Integral roots of circulant matrix
Aug
19
answered Integral roots of circulant matrix
Aug
17
answered Important formulas in Combinatorics
Aug
8
comment Self-Similar Graphs
For the group $G$, the symbol $Z(G)$ denotes the center of $G$. Since $Aut(\Gamma)$ shows the symmetric properties of graph $\Gamma$, I think the dimension of iterated graph must strongly depend to its auotomorphism group or some good fraction deduced from it.
Aug
7
comment Classification of Automorphism set of a Regular graph
So, please say your motivation directly. Maybe, we can say more by knowing your actual idea.
Aug
7
comment Self-Similar Graphs
Graphs are special types of operators. Maybe by this point of view, we can see the iteration of operators and by some good using of Fourier transformation, we can find a meaning for self-similarity. Also, I think if we can get the fraction of $\frac{|Z(Aut(G))|}{|Aut(G)|}$, we have a good measure for self-similarity. Maybe, the concept of fractional graph theory be helpful in some scene.
Aug
7
comment Classification of Automorphism set of a Regular graph
For question$(3)$, always you can partition the automorphism group of any graph in two sets; odd permutations and even permutations.
Aug
7
revised Classification of Automorphism set of a Regular graph
Corrected spelling and some grammars, Changed some symbols, edited some notations
Aug
7
suggested approved edit on Classification of Automorphism set of a Regular graph
Jul
20
comment Can I find the gap between the two least eigenvalues of this special matrix A(t)?‎
Nice View @Poloni, but I suspect that the general form of the question can be reduces to the $I+L$, where $L$ is tridiagonal.
Jul
14
revised Cayley graphs with special subgraphs and some related problems
Corrected spelling
Jul
13
revised Cayley graphs with special subgraphs and some related problems
I pointed that I interest to non-trivial cases.
Jul
13
comment Cayley graphs with special subgraphs and some related problems
Thanks @verret, you are right, but I interest to non-trivial case or some family of non-trivial cases.