Let G = (V, E) be a bipartite graph with vertex partition V = L R, and let G' be its corresponding flow network. Give a good upper bound on the length of any augmenting path found in G' during the execution of FORD-FULKERSON.
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Let G = (V, E) be a bipartite graph with V partitioned as X ? Y, where X = {x1, x2, . . ., xm] and Y = {x1, x2, . . . , xn}- How many complete matchings of X into Y are there if (a) m = 2, n = 4, and G = Km n? (b) m = 4, n = 4, and G = Km,n? (c) m = 5, n = 9, and G = Km,n? (d) m < n and G = Km,n?
With reference to the data on the length of 10 major league baseball games in Exercise 2.43: (a) Find the sample mean. (b) Find the sample variance. (c) Find the sample standard deviation.
Determine the level of measurement of each variable. 1. Nation of origin 2. Movie ratings of one star through five stars 3. Volume of water used by a household in a day 4. Year of birth of college students 5. Highest degree conferred (high school, bachelor\'s, and so on) 6. Eye color 7. Assessed...
Hatch Manufacturing produces multiple machine parts. The theoretical cycle time for one of its products is 65 minutes per unit. The budgeted conversion costs for the manufacturing cell dedicated to the product are $12,960,000 per year. The total labor minutes available are 1,440,000. During the...
Figure 3.35 shows the median home prices in regions of the United States. How is the graph misleading? How could it be drawn so that it is not misleading?
On June 30, 2009, County Company issued 12% bonds with a par value of $800,000 due in 20 years. They were issued at 98 and were callable at 104 at any date after June 30, 2017. Because of lower interest rates and a significant change in the company\'s credit rating, it was decided to call the entire...
Initials Fn 13. Answer the following questions about acidity (12 phenol has a much lower pka than cyclohexanol. b) Placing a nitro group para to the OH group in phenol increases the acidity, para nitrophenol has a pka of 7.2. Explain how the nitro group increases the acidity of the OH. (2 pts) 14....
You are preparing to give a research presentation about the effectiveness of Toyota’s advertising to restore public confidence in the wake of their delays in solving the accelerator pedal malfunction and antilock braking problems for high-tech hybrid vehicles. Which of the patterns of...
Suppose that a flow network G = (V, E) has symmetric edges, that is, (u, v) ¬ E if and only if (v, u) ¬ E. Show that the Edmonds-Karp algorithm terminates after at most |V| |E|/4 iterations.
Elaine\'s original basis in the Hornbeam Partnership was $30,000. Her share of the taxable income from the partnership since she purchased the interest has been $90,000, and Elaine has received $80,000 in cash distributions from the partnership. Elaine did not recognize any gains as a result of the...