bio  website  mathoverflow.net/users/19885/… 

location  Between Two Moments  
age  
visits  member for  3 years, 8 months 
seen  10 hours ago  
stats  profile views  2,657 
$T$. $S$. $Eliot$, 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 problemposers and problemsolvers 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 degree2 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 
SelfSimilar 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 
SelfSimilar 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 selfsimilarity. Also, I think if we can get the fraction of $\frac{Z(Aut(G))}{Aut(G)}$, we have a good measure for selfsimilarity. 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 nontrivial cases. 
Jul
13 
comment 
Cayley graphs with special subgraphs and some related problems
Thanks @verret, you are right, but I interest to nontrivial case or some family of nontrivial cases. 