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1. For an acyclic network G with a specified source node s, outline an algorithm that enumerates all distinct directed paths from the source node to every other node in the network. The running time of your algorithm should be proportional to the total length of all the paths enumerated (i.e., linear in terms of the output length.)
2. In an undirected connected graph G = (N, A), an Euler tour is a walk that starts at some node, visits each arc exactly once, and returns to the starting node. A graph is Eulerian if it contains an Euler tour. Show that in an Eulerian graph, the degree of every node is even. Next, show that if every node in a connected graph has an even degree, the graph is Eulerian. Establish the second result by describing an O(m) algorithm for determining whether a graph is Eulerian and, if so, will construct an Euler tour. (Hint: Describe an algorithm that decomposes any graph with only even-degree nodes into a collection of arc-disjoint cycles, and then converts the cycles into an Euler tour.)
Explain this tendency of industrial clusters to break up in terms of the theory of external economies.
The EPA tests vehicles for gasoline mileage under stringent testing conditions. The testing for a particular make and model of mid-sized SUV involved 35 vehicles submitted by the manufacturer. Assume the vehicles submitted for testing constitute a..
Why would a stranger want to make me a million?" Explain how Trevino's perspective fits the efficient market theory
The rent market price for a 1-bedroom condominium in NYC is $3,000. However, the government does not allow these prices to be charged and establishes a price ceiling. This means that the government sets the maximum rent that can be charged.
australian bureau of statistics abs provides retail data for different groups and different states as well as the
Let X and Y be two random variables with given joint PMF, and let g and h be two functions of X and Y, respectively. Show that if X and Y are independent, then the same is true for the random variables g{X) and h{Y).
Should Airway Express continue to provide the flight between Los Angeles and New York at all. If Airway Express decides not to fly, it still has to pay the fixed costs of $3,000 per day. The evening with the return flight the next afternoon is cou..
The benefit function is given by B(H) = 500H - 22.5H2 and the cost function is given by C(H) = 100 + 15H2. The corresponding marginal benefit and marginal cost functions are given by MB(H) =500 - 45H and MC(H) = 100 + 30H.
The demand function for VCRs has been estimated to be Q_v=134-1.07P_t+46P_m-2.1P_v-5M , where Q_v is the quantity of VCRs, P_t is the price of a videocassette, P_m is the price of a movie, P_v is the price of a VCR, and M is income.
Use the Microsoft SQL Server 2012 online documentation to answer the following questions.
The marginal cost of maintaining apartments that are over 15 years old can be expressed as P = 90 + Q The marginal cost of maintaining apartments newer that can be expressed as P = 120 + 2Q where P is the amount of rent in dollars paid each month and..
Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function: P = 600 - Q^c -Q^d where Q^c and Q^d are the quantities sold by the respective firms
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