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Question: 1. Let G be planar. When is the upper bound on χ(G) better from planarity than from Δ(G)+1?
2. Use Theorem to determine χ' (Km,n).
Theorem: For bipartite G, χ' (G) = Δ(G)
3. Challenge: Create a graph on which a greedy algorithm produces a truly awful vertex coloring.
As an experiment in a botany class, 20 plants are placed in a greenhouse, and their growth in centimeters after 20 days is recorded, with the results shown below. Construct a stem and leaf plot for the data.
Determine whether the statements are true or false. Prove the statements which are true; note that Venn Diagrams are not proofs - Determine whether R is reflexive, symmetric, antisymmetric, or transitive.
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Without further information, the company believes there is a 20% chance that an earthquake will occur at Chico during the next 5 years.
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Let S = {A, B, C} be the Sample Space for an experiment, and let E = {A, B}. It is known that outcome A is twice as likely to occur as outcome B. Find Pr[E | A] andPr[A | E].
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