Chromatic Numbers and Graph Coloring
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Let G1 be a graph such that every two odd cycles intersect. Prove that X(G)=<5.
(The minimum integer for which a graph is k-colorable is called the vertex chromatic number, or simply the chromatic number of , and is denote by , this problem is about graph coloring).
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Solution Summary
Chromatic Numbers and Graph Coloring are investigated. The vertex chromatic numbers are determined.
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Let be a graph such that every two odd cycles intersect. Prove that .
(The minimum integer for which a graph is -colorable is called the vertex chromatic number, or simply the chromatic number of , and is denote by , this problem is about graph coloring).
Please your proof have to be perfect proof, this means ...
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
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- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
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