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seen Jun 13 at 14:53

Jul
1
awarded  Popular Question
Dec
16
awarded  Nice Question
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.