Explanation Algorithm used: Kruskal’s Algorithm. Step 1 (initialization) Set T = ϕ . Let S be the set of all edges of G . Step 2 (enlarge T ) While | T | < n − 1 and S is not empty Choose an edge e of smallest weight from S . (Ties can be broken arbitrarily.) If no cycle is formed by any of the edges in T ∪ { e } , then replace T with T ∪ { e } . Remove e from S . Endwhile Step 3 (is there a minimal spanning tree?) If | T | < n − 1 There is no minimal spanning tree for G because it is not connected Otherwise The edges in T and their incident vertices form a minimal spanning tree. Endif Description: Consider the following graph. Begins with defining the sets. Set T = ϕ and S = { a , b , c , d , e , f , g , h , i , j , k , m , n , o , p , q , r , s , t , u , v , w } . In set S, the edge k is the edge which has the smallest weight so add k into T and delete it from S

5th Edition

ISBN: 9780134689562

Author: Dossey, John A.

Publisher: Pearson,

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Question

Chapter 5.2, Problem 41E

To determine

To graph: A minimal spanning tree for the given weighted graph with the help of minimal spanning tree.

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Chapter 5.2, Problem 40E

Chapter 5.2, Problem 42E

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Starting with the finished version of Example 6.2, attached, change the decision criterion to "maximize expected utility," using an exponential utility function with risk tolerance $5,000,000. Display certainty equivalents on the tree. a. Keep doubling the risk tolerance until the company's best strategy is the same as with the EMV criterion—continue with development and then market if successful. The risk tolerance must reach $ ____________ before the risk averse company acts the same as the EMV-maximizing company. b. With a risk tolerance of $320,000,000, the company views the optimal strategy as equivalent to receiving a sure $____________ , even though the EMV from the original strategy (with no risk tolerance) is $ ___________ .

2.8.1

Do not use the Residue Theorem. Thank you.

Chapter 5 Solutions

Discrete Mathematics

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Ch. 5.1 - Seven farming communities in Iowa want to develop...Ch. 5.1 - As few trails as possible are to be built between...Ch. 5.1 - A farmer needs to irrigate the fields in which his...Ch. 5.1 - Draw a graph that is not a tree for which the...Ch. 5.1 - Prob. 15E Ch. 5.1 - What is the smallest number of edges in a...Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - There are two saturated hydrocarbons of the type...Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - In order to count the number of distinct trees...Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - In order to count the number of distinct trees...Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - 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