332_exam3_key - Geog 332 Economic Geography Exam 3 page 1...

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Geog 332 Economic Geography Exam 3 – page 1 Thursday 1 st May 2008 Name: ____________ KEY ___________________ 1. Fill in the shortest path table for this undirected network. ALSO fill in the nCPL, eccentricity, and degree for each node. A B C D E F G nCPL Eccentricity Degree A 0 2 4 3 3 2 1 15/6 4 4 B x 0 4 4 2 4 3 19/6 4 3 C x x 0 1 3 2 3 17/6 4 3 D x x x 0 2 1 2 13/6 4 3 E x x x x 0 2 3 15/6 3 5 F x x x x x 0 1 12/6 4 4 G x x x x x x 0 13/6 3 2 2. For the network above: a. Define the beta of a network. What is the (numerical) beta of this network? beta = # links / # nodes = 12/7 b. Define the radius of a network. What is the (numerical) radius of this network? radius = shortest eccentricity = 3 c. Define the diameter of a network. What is the (numerical) diameter of the network? diameter = longest eccentricity = 4 d. Which node(s) is(are) the center node of the network, and why ? E and G, because their eccentricities = radius e. Which nodes delimit the diameter of the network, and why? A, B, C, D, and F delimit diameters, because their eccentricities = diameter A B C D G F E 2 4 2 4 1 1 2 2 1 1 3 3
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Geog 332 Economic Geography Exam 3 – page 2 Thursday 1 st May 2008 3. In Central Place Theory, a. the range of a good is the __ maximum distance a customer would travel to purchase the good ___ b. the threshold of a good is the _ minimum number of customers necessary to stay in business ____ 4. Write out the IPAT equation using full words or phrases for each part.
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