bio | website | |
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visits | member for | 1 year, 2 months |
seen | Oct 7 at 3:02 | |
stats | profile views | 62 |
Apr 19 |
comment |
How to transform matrix to this form by unitary transformation?
Thanks! Will unitary transformation keeps the spectral radius? |
Apr 2 |
comment |
Is there such a matrix in $SO(n)$?
@მამუკაჯიბლაძე I give an example for $n=2$ in a Mathematica file(click the link please) |
Apr 2 |
comment |
Is there such a matrix in $SO(n)$?
@მამუკაჯიბლაძე Thanks for your comment! Note that $a'_i, b'_i$ may be un-normalized. |
Mar 25 |
comment |
making a graph well-covered without changing its Shannon capacity
The new one added vertex should be adjacency with each vertex which can be in a maximum independent set at least. |
Jan 15 |
awarded | Peer Pressure |
Jan 15 |
comment |
Lovász function of the Möbius ladder
Since the Möbius ladder is isomorphic to the circulant graph $Ci_{2n}(1,n)$, we can think about $Ci_{2n}(1,n)$. But I have no idea too. |
Oct 29 |
awarded | Scholar |
Oct 29 |
accepted | What is the maximum of the ratio $\vartheta(G)/\alpha(G)$? |
Oct 29 |
comment |
What is the maximum of the ratio $\vartheta(G)/\alpha(G)$?
Thanks so much Casteels! You're so kindly focus on this question. |
Oct 28 |
revised |
What is the maximum of the ratio $\vartheta(G)/\alpha(G)$?
edited tags |
Oct 28 |
comment |
What is the maximum of the ratio $\vartheta(G)/\alpha(G)$?
Thanks so much! Here is a similar question shows $log_2(q)+3/2$ will not be the right size. |
Oct 27 |
awarded | Supporter |
Oct 27 |
comment |
What is the maximum of the ratio $\vartheta(G)/\alpha(G)$?
Thanks! Your answer is very helpful! I also considered Payley graphs, but it is not adequate to say the upper bound is infinity because the numerical result shows the maximum is $5.4$ for $q<9973$. Is there some other pattern of graphs whose $ϑ(G),α(G)$ are all known? Thanks again! |
Oct 27 |
revised |
What is the maximum of the ratio $\vartheta(G)/\alpha(G)$?
deleted 1 characters in body |
Oct 27 |
asked | What is the maximum of the ratio $\vartheta(G)/\alpha(G)$? |
Sep 25 |
comment |
How to transform matrix to this form by unitary transformation?
Thanks! Your answer is so helpful! May you kindly talk about why you choose the case where $(m_i) = (65, 72, 25, 69, 2)$ and which software do you use? |
Aug 24 |
awarded | Commentator |
Aug 24 |
comment |
Nontransitive dice: the least number of faces?
@WillSawin It is a cool idea! We can always to do this perturbation, but the nontransitivity is only related to the order of the numbers but not what they exactly are. |
Aug 23 |
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Nontransitive dice: the least number of faces?
@WillSawin Yeah $n$ is the number of dice. |
Aug 23 |
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Nontransitive dice: the least number of faces?
$m=3$ for $n=3$, for example, the three dices are {1,5,9}, {2,6,7},{3,4,8}. |