Solving Affine Cipher with Number Theory

pupeye11
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Homework Statement



Decipher the following text

KQEREJEBCPPCJCRKIEACUZBKRVPKRBCIBQCARBJCVFCUPKRIOF KPACUZQEPBKRXPEIIEABDKPBCPFCDCCAFIEABDKPBCPFEQPKAZ
BKRHAIBKAPCCIBURCCDKDCCJCIDFUIXPAFFERBICZDFKABICBB
ENEFCUPJCVKABPCYDCCDPKBCOCPERKIVKSCPICBRKIJPKABI


Homework Equations



I know that C->A and B->T

The Attempt at a Solution



that means my two equations are:

2a+b=0 (mod 26)
a+b=19 (mod 26)

I must be solving these wrong. I need to get a decipher equation and I keep getting

d(k)=15(y-5) (mod 26) but that doesn't allow K->O like it should.
 
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Nevermind, I figured it out.
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'
Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...

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