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A three coloring of a graph labels each vertex v with one of three colors, say R, B or G, so that the two end points of any edge have different colors. Consider an undirected graph which is a single path, i.e.,where the vertices are v1...vn, and there is an edge between each vi and vi+1 for i = 1..n-1. How many 3 colorings does this graph have? (2 points correct answer. 1 point short explanation). How many bits are required to describe such a 3-coloring? (2 points correct answer, 1 point short explanation) Give coding and decoding algorithms that given the 3-coloring, outputs a string of the length above that codes it, and given the code, outputs the original 3-coloring. (3 points algorithm description, 1 point short explanation).
A private closed economy includesA.households, businesses, and international trade, but not government. B.households, businesses, and government, but not international trade. C.households only. D.households and businesses, but not government or inter..
Great Britain would increase its own money supply, while maintaining its existent fiscal policy at the current level.
1. conservative commentators in the us often attribute the slow recovery to market concerns about what obama might do
The minimum feasible long-run average cost for firms in a perfectly competitive industry is $40 per unit. If every firm in the industry currently is producing an output consistent with a long-run equilibrium, what is the marginal cost incurred by ..
b)calculate the amount of additional reserve this bank would like to loan out to customers c)if this bank loans out the reserves you calculated in part ( b above, how much will the money supply change as a result)
Describe several major antitrust cases in the United States. How do these laws affect (or affected) your work place or products used at your work place.
Several years ago, the orange growers of Florida launched a marketing campaign in which the spokesperson, while holding a can of California almonds, told viewers: "One can a week. That's all we ask."
One of the major political developments of the past several decades is the growing size and economic/monetary integration of the European Union. Elucidate what effect do you think this will have on international trade between countries.
What is the net effect on the money supply in the economy? Show your work. Assume instead that Sammy uses the $10,000 he receives to pay back a loan from Bad Boys Bank. $8,000 goes to repay the loan itself, and $2,000 represents his Interest payme..
Efficiency can best be defined as the amount of output generated in a given amount of time,producing items using the least amount of resources or else.
Assume that the soft coal industry is a competitive industry and it is in long run equilibrium. Now assume that the firms in the industry form a cartel.
How might we decouple economic growth and transport growth. What are the pertinent sustainability issues in the context of logistics and SCM
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