Question: Consider a directed graph with vertices 1, 2, . . . , n. Say that the graph is represented by a matrix A (hence A[ij]

Consider a directed graph with vertices 1, 2, . . . , n. Say that the graph is represented by a matrix A (hence A[ij] = 1 if ij ∈ E). Assume that there are no parallel edges no anti paralle edges, and no self loops. Give an algorithm that finds if there is a vertex with in-degree n − 1.

Step by Step Solution

★★★★★

3.52 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Heres an algorithm to find if theres a vertex with indegree n 1 in a d... 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

Students Have Also Explored These Related Programming Questions!

The Database Administration Plan must contain the following items: 1. Create a detailed database administration plan to meet the needs of your retail organization. a. Include a transaction...

Let G = (V, E) be a directed graph with weight function w : E R, and let n = |V|. We define the mean weight of a cycle c = e 1 , e 2 , . . . , e k of edges in E to be Let * = min c (c), where c...

Consider a directed acyclic graph with V vertices and E edges. (i) What is meant by a total order on the vertices consistent with the edges? [2 marks] (ii) Describe an O(E + V ) algorithm to compute...

Let X and Y be G-sets with the same group G. An isomorphism between G-sets X and Y is a map : X Y that is one to one, onto Y, and satisfies g(x) = (gx) for all x X and g G. Two G-sets are...

Let X be the D 4 -set in Example 16.8. a. Does D 4 act faithfully on X? b. Find all orbits in X on which D 4 acts faithfully as a sub-D 4 -set. Data from in Example 16.8 Let G be the group D 4 = {p 0...

let X={l, 2, 3, 4, s 1 .s 2 ,s 3 ,s 4 ,m 1 ,m 2 ,d 1 ,d 2 ,C,P 1 ,P 2 ,P 3 ,P 4 } be the D 4 -set of Example 16.8 with action table in Table 16.10. Find the following, where G = D 4 . The orbits in X...

Let D 4 be the group of symmetries of the square in Example 8.10. a. Find the decomposition of D 4 into conjugate classes. b. Write the class equation for D 4 . Data from Example 8.10 Let us form the...

In Exercises 25 through 30, find all interior and boundary critical points and determine the largest and smallest values of the function f(x, y) over the given closed, bounded region R. f(x, y) = x 3...

16 Suppose my utility function for my asset position is u(x) x1/2. I have $10,000 at present. Consider the following lottery: L: With probability 1 2 , L yields a payoff of $1,025. L: With...

The Metropolis acceptance mechanism (9.6) ordinarily implies aperiodicity of the underlying Markov chain. Show that if the proposal distribution is symmetric and if some state i has a neighboring...

Please help with test review so i may study. 1. Which of the following statements is true of costing systems? A) A process costing system would be used by manufacturers of custom-made perfumes. B) A...

a. How will Coors expansion change its marginal cost curve and short-run supply curve? b. What does this expansion decision imply about the point on Coors LRAC curve at which the firm was before the...

Please help me verify the correct answer and solution. Thank you!

Jennifer let her cousin use her computer during a recent visit. Without Jennifers permission the cousin visited several web sites that sold pornography. Now Jennifer is receiving spam from similar...

Is it possible to precipitate 99.0% of 0.010 M Ce 3 + by adding oxalate (C 2 O 2 4 - ) without precipitating 0.010 M Ca 2 + ? CaC 2 O 4 Ksp = 1.3 10 -8 Ce 2 (C 2 O 4 ) 3 Ksp = 5.9 10 -30

What are the circumstances that favour the use of negotiated transfer prices?

The following equations were estimated using the data in ECONMATH. The first equation is for men and the second is for women. The third and fourth equations combine men and women. (i) Compute the...

Despite the regulations that protect banks from failure, some do fail. Go to www2.fdic.gov/hsob/index.asp. Select the tab labelled Failures and Assistance Transactions. How many bank failures...

QUESTION 3) A company manufactures electronic gadgets. Every day, raw materials arrive at the warehouse and are inspected for quality. Once approved, materials move to production, where assembly...

Modify the Bellman-Ford algorithm so that it sets .d to - for all vertices for which there is a negative-weight cycle on some path from the source to .

One way to determine whether a point p 0 is in the interior of a simple, but not necessarily convex, polygon P is to look at any ray from p 0 and check that the ray intersects the boundary of P an...

Prove that if G is an undirected bipartite graph with an odd number of vertices, then G is nonhamiltonian.

JDog corporation owns stock in Oscar, Inc. JDog received a $10,000 dividend from Oscar, Inc. What temporary book-tax difference associated with the dividend will JDog report for the year in the...

Maple Corp. owns several pieces of highly valued paintings that are on display in the corporation's headquarters. This year, it donated one of the paintings valued at $100,000 (adjusted basis of...

Wasatch Corp. (WC) received a $200,000 dividend from Tager Corporation (TC). WC owns 15 percent of the TC stock. Compute WC's deductible DRD in each of the following situations: a. WC's taxable...