The diagram below shows an undirected graph. We would like to investigate the effect of negative...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The diagram below shows an undirected graph. We would like to investigate the effect of negative edge weights when using Dijkstra's algorithm to find the lowest cost path from A to all other nodes. A W₁ W₂ B с W3 WA Produce two versions of this graph with edge weights to show: (a) One example where the presence of a negative weighted edge causes an incorrect path cost to be calculated by the Dijkstra algorithm for one or more of the graph nodes. You answer should make clear which path cost(s) is incorrect. (b) One example where the correct path costs are calculated for all nodes even though one of the edges is negative weighted. Note: Both graphs must be fully labelled with edge weights such that w; > 0 in your both examples. Please fill the blanks in your answer sheet. You should then provide a short explanation as to why one of the graphs gave rise to a correct result and why one gave rise to an incorrect result. You answer should refer to the concept of an invariant. The diagram below shows an undirected graph. We would like to investigate the effect of negative edge weights when using Dijkstra's algorithm to find the lowest cost path from A to all other nodes. A W₁ W₂ B с W3 WA Produce two versions of this graph with edge weights to show: (a) One example where the presence of a negative weighted edge causes an incorrect path cost to be calculated by the Dijkstra algorithm for one or more of the graph nodes. You answer should make clear which path cost(s) is incorrect. (b) One example where the correct path costs are calculated for all nodes even though one of the edges is negative weighted. Note: Both graphs must be fully labelled with edge weights such that w; > 0 in your both examples. Please fill the blanks in your answer sheet. You should then provide a short explanation as to why one of the graphs gave rise to a correct result and why one gave rise to an incorrect result. You answer should refer to the concept of an invariant.
Expert Answer:
Answer rating: 100% (QA)
a Let w13 w21 w32 and w41 Applying the Dijkstras algorihm we get the following The path ... View the full answer
Related Book For
Posted Date:
Students also viewed these programming questions
-
Avatar Corporation uses a predetermined rate to apply the surcharge. At the beginning of the year, Avatar estimated its overhead costs at $240,000, direct labor hours at 40,000, and machine hours at...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
"All Boeing airplanes are certified and delivered to the highest levels of safety consistent with industry standards. Airplanes are delivered with baseline configuration, which includes a standard...
-
Water flows in a partially full 2-m-diameter circular pipe an average velocity of 2 m/s. If the water depth in the pipe is 0.5 m, determine the flow area, the wetted perimeter, the hydraulic radius,...
-
A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal to 25. (a) What percentage of scores is between 15 and 25? (b) What raw score is the cutoff for the...
-
Smith-Kline Company maintains inventory records at selling prices as well as at cost. For 2018, the records indicate the following data: Required: Assuming the price level increased from 1.00 at...
-
Which of the following prevents a company from switching its inventory costing method to a different method each year? a. Disclosure principle b. Consistency principle C. Matching principle d....
-
How can Trip 7 prevent future supply chain uncertainties?
-
On August 7 , Welllington Co . paid $ 3 , 1 6 0 to install a hydraulic lift and $ 3 1 for an air filter for one of its delivery trucks. Question Content Area Journalize the entry for the new lift. If...
-
The Metropolitan Transit Authority (MTA) has just opened a new subway line (the Orange Line) in its underground transportation network. The Orange Line had a capital investment of $20 million,...
-
Choose the correct description of the punctuation in the sentence. (The sentence is correctly punctuated.) I want to see the sights and hear the sounds; nevertheless, I'll stay away from Vesuvius. a....
-
The consumption of alcohol is illegal for Afghan citizens, but the government does allow the sale of alcohol under licence to foreigners. Use a diagram to show how such a prohibition would affect the...
-
The WTO agreement allows members to apply anti-dumping measures when dumping (selling at a price less than the cost of production) by one country that may result in material injury to the competing...
-
Firms and consumer groups often try to influence government to adopt a policy that favors them. Others who do not support lobbying arguing that, left alone, competitive markets maximize societal...
-
What kinds of risks has your companys supply chain faced in the past? What kinds of risks do you expect it will face in the next few years? How can these supply chain risks be managed?
-
As of October 15, 2015, large stores (with 250 or more full-time employees) in England are required to charge shoppers 5 pence per new plastic bag. Plastic bags at airport shops or aboard trains,...
-
Based on the information below, once the minimum threshold of participants is reached, the initial investment to establish the center is $317,880. The organization anticipates that it will generate...
-
A researcher reports a significant two-way between-subjects ANOVA, F(3, 40) = 2.96. State the decision to retain or reject the null hypothesis for this test.
-
How is the unemployment rate measured? What are the three conditions someone needs to meet to be counted as unemployed?
-
Jared Bernstein, an economist at the Center on Budget and Policy Priorities, has stated: "I want to see receipt of unemployment insurance ... go up in recessions." If government unemployment...
-
Considering only the income effect, if the price of an inferior good declines, would a consumer want to buy a larger quantity or a smaller quantity of the good? Does your answer mean that the demand...
-
Assume that an account has the following characteristics: Number of items in the account-300 Recorded amount- \(\$ 600,000\) Sample size-100 Required: a. If the sample mean is \(\$ 1,800\) and mean...
-
You desire to estimate the amount of the inventory of your client. Draper. Inc. You satisfied yourself earlier as to the inventory quantities. During the audit of the pricing and extension of the...
-
The following data for a substantive test using sampling are available: Population recorded amount- \(\$ 200,000\) Tolerable misstatement \(\$ 10,000\) Number of items in the population-200 Risk of...
Study smarter with the SolutionInn App