Question: Give an O (V + E)-time algorithm to compute the component graph of a directed graph G = (V, E). Make sure that there is

Give an O (V + E)-time algorithm to compute the component graph of a directed graph G = (V, E). Make sure that there is at most one edge between two vertices in the component graph your algorithm produces.

Step by Step Solution

★★★★★

3.40 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We have at our disposal an O V Etime algorithm that computes strongly connected components Let us as... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

C-S-A (181).docx

120 KBs Word File

Students Have Also Explored These Related Algorithms Questions!

A path cover of a directed graph G = (V, E) is a set P of vertex-disjoint paths such that every vertex in V is included in exactly one path in P. Paths may start and end anywhere, and they may be of...

The adjacency list representation of a directed graph G is given by the lists in Table 7.6. Construct G from this representation. st 14558000 1 2 3 4 5 6 7 8 1236334536 7-a le d 1 2 3 4 5 6 7 8 9

The incidence matrix of a directed graph G = (V, E) is a |V| Ã |E| matrix B = (bij) such that Describe what the entries of the matrix product B BT represent, where BT is the transpose of B. -1...

1. Let G = (V. E) be a directed graph. Define a graph G2-(VE') as follows: V,-V: (u, v) E E if there is a a path of length 2 between u and v in G. Suppose that a directed graph G is given as...

Unless stated otherwise the input representation of graphs is adjacency list. . Let G = (V. E) be a directed graph. Define a graph G2 = (V.E') as follows: V,-V: (u, v) E E if there is a a path of...

3. 14 marks Graph algorithm Let G V.E) be a graph, and let V 0, be the vertices of the graph. One common way to represent graphs in a computer program is with an adjacency matrix a two-dimensional...

Remarks: In all algorithm, always explain how and why they work. ALWAYS, analyze the complexity of your algorithms. Prove that it works. In all algorithms, always try to get the fastest possible. A...

A full proof would be helpful! Thank you 3. [14 marks] Graph algorithm. Let G-(V. E) be a graph, and let V-{0, 1,.. . , n-1} be the vertices of the graph. One common way to represent graphs in a...

For any weighted graph G = ( V , E , w ) and integer k , define Gk to be the graph that results fromremoving every edge in G having weight k or larger.Given a connected undirected weighted graph G =...

Find the P-value for a left-tailed hypothesis test with a standardized test statistic of z = -1.71. Decide whether to reject H0 when the level of significance is = 0.05. a. Use Table 4 in Appendix B...

Consider the brands of a company that has a large brand portfolio and identify specific brands that function in three of the four roles that brands may play within that portfolio: high-end prestige...

Write one paragraph research study on effect of digital currency and performance of commercial banks in Brazil include design employed, target population, sampled size regression analysis used,...

A beam of light is emitted in a pool of water from a depth of 62.0cm. Where must it strike that air-water interface, relative to the spot directly above it, in order that the light does not exit the...

An 80-mm-focal-length lens is used to focus an image on the film of a camera. The maximum distance allowed between the lens and the film plane is 120 mm. (a) How far ahead of the film should the lens...

A thin film with index of refraction n = 1.40 is placed in one arm of a Michelson interferometer, perpendicular to the optical path. If this causes a shift of 7.0 bright fringes of the pattern...

A ski tow operates on a 15.0" slope of length 300 m. The rope moves at 12.0 km/h and provides power for 50 riders at one time, with an average mass per rider of 70.0 kg. Estimate the power required...

In Figure the ideal battery has emf ? = 30.0 V and the resistances are R1 = R2 = 14?, R3 = R4 = R5 = 6.0?, R6 = 2.0?, and R7 = 1.5?. What are currents?(a) i2,(b) i4,(c) i1,(d) i3, and(e) i5? Ry R, Ro...

Compute the work done against gravity by a pump that discharges 600 liters of fuel oil into a tank 20 m above the pumps intake. One cubic centimeter of fuel oil has a mass of 0.82 g. One liter is...

Raphael Restaurant is considering the purchase of a $9,600 souffl maker. The souffl maker has an economic life of eight years and will be fully depreciated by the straight-line method. The machine...

A firm is considering an investment in a new machine with a price of $17.3 million to replace its existing machine. The current machine has a book value of $7 million and a market value of $5.7...

(NPV, PI, and IRR calculations) Fijisawa Inc. is considering a major expansion of its product line and has estimated the following cash flows associated with such an expansion. The initial outlay...