Negative Volume: What Is It and How to Solve It?

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negative volume ?

attached herewith pdf file with the problem and my solution .
 

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Look at the bounds for your z term. If x and y are zero you're integrating from 4 to 3

Also, you can't just pull out the integral over z from the integrals over x and y when your integral over z depends on x and y
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

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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