exam3 - What is its weight? ( OVER ) A F G H I B D E C A B...

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MA 103 QUIZ 3 1. Consider the following graph: a) Does the graph have an Euler circuit? If so, find one; if not, explain why b) Does the graph have an Euler path? If so, find one; if not, explain why. c) Find a Hamilton circuit. 2. Consider the following graph: a) How many Hamilton circuits does this graph have? b) Use the nearest neighbor algorithm to approximate a minimal weight Hamilton circuit starting at A. What is its weight? c) Use the nearest neighbor algorithm to approximate a minimal weight Hamilton circuit starting at B . What is its weight? d) Use the cheapest link algorithm to approximate a minimal weight Hamilton circuit starting at A.
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Unformatted text preview: What is its weight? ( OVER ) A F G H I B D E C A B C D E 18 47 38 71 62 56 73 49 84 65 3. The following graph represents a map of the streets of a town. Describe whether each of the following problems involves an Euler circuit or a Hamilton circuit and then write down the circuit beginning and ending at H (Eulerizing if necessary). a) There is a storm sewer at each intersection; after a storm you have to inspect each sewer to make sure that it is not clogged. b) After a storm you must inspect each street to make sure that it is not blocked by fallen branches. You may label the vertices to aid your description. H...
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This note was uploaded on 03/27/2009 for the course MA 103 taught by Professor Solfiell during the Spring '08 term at N.C. State.

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exam3 - What is its weight? ( OVER ) A F G H I B D E C A B...

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