Prove that for any directed graph G, we have ((G T ) SCC ) T = G
Question:
Prove that for any directed graph G, we have ((GT)SCC)T = GSCC. That is, the transpose of the component graph of GT is the same as the component graph of G.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
First observe that CC is a strongly connected component of GG if and only i...View the full answer
Answered By
Sandra Dimaala
Sandra from Philippines ,LICENSED PROFESSIONAL TEACHER.
Teachers are our nation builders—the strength of every profession in our country grows out of the knowledge and skills that teachers help to instill in our children. And, as a nation, we must do much, much more to fully appreciate and support their work.
0.00
0 Reviews
10+ Question Solved
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Question Posted:
Students also viewed these Computer science questions
-
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...
-
The incidence matrix of a directed graph G = (V, E) with no self-loops is a |V| Ã |E| matrix B = (b ij ) such that Describe what the entries of the matrix product BB T represent, where B T is...
-
Prove that for any pair of vertices u and v and any capacity and flow functions c and f, we have cf (u, v) + cf (v, u) = c(u, v) + c(v, u).
-
Suppose that Marthas income rises to $42,000 per year, and that she increases her consumption of health care visits by fi ve visits. Using the graphs for Exercise 1, draw the new equilibrium. What is...
-
Predict the major products of the following reactions. (a) (E)-3-methyloct-3-ene + ozone, (CH3)2S (b) (Z) -3- methyloct-3ene + warm, concentrated KMnO4 (d) I-ethylcycloheptene +ozone, then (CH3)2S...
-
What is considered to be good communication? Why is it important?
-
What are the responsibilities of inventory management?
-
Corporate ownership varies around the world. Historically individuals have owned the majority of shares in public corporations in the United States. In Germany and Japan, however, banks, other large...
-
On December 31, 2020, Coolwear, Inc. had a balance in its prepaid insurance account of $63,400, During 2021, $101000 was paid for Insurance. At the end of 2021, after adjusting entries were recorded...
-
Can you come up with a scenario where the hotel could stay in business and still address the mayor offices environmental concerns?
-
Given an adjacency-list representation of a multi-graph G = (V, E), describe an O(V + E)-time algorithm to compute the adjacency-list representation of the "equivalent" undirected graph G = (V, E),...
-
Prove or disprove: If a directed graph G contains cycles, then TOPOLOGICAL-SORT (G) produces a vertex ordering that minimizes the number of bad edges that are inconsistent with the ordering produced.
-
Describe a pension plan, the most common example of a defined-benefit retirement plan. What are the advantages and disadvantages of this type of plan? Why are defined-benefit plans declining?
-
How could civil engineers contribute to space debris management and cleanup?
-
In what ways can the principles of resilient infrastructure be applied to design urban systems capable of withstanding natural disasters, and how do these principles contribute to the overall safety...
-
What are local variables and global variables in Python?
-
When to use a tuple vs list vs dictionary in Python? Explain some benefits of Python
-
What is Lambda Functions in Python? How do I modify a string in python?
-
Waterways Corporation puts much emphasis on cash flow when it plans for capital investments. The company chose its discount rate of 8% based on the rate of return it must pay its owners and...
-
Distinguish between the work performed by public accountants and the work performed by accountants in commerce and industry and in not-for-profit organisations.
-
In CRC, we have chosen the generator 1100101. What is the probability of detecting a burst error of length a. 5? b. 7? c. 10?
-
Assuming even parity, find the parity bit for each of the following data units. a. 1001011 b. 0001100 c. 1000000 d. 1110111
-
In CRC, which of the following generators (divisors) guarantees the detection of an odd number of errors? a. 10111 b. 101101 c. 111
-
How much money should be deposited at age 50 in order to withdraw $30000 at the end of each year for 5 years if the first withdrawal is made at age 65. The account earns 8.25% compounded quarterly....
-
Suppose you are the money manager of a $4.98 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 240,000 1.50 B 700,000 (0.50...
-
Newton Company is privately owned by four individuals. The company sells athletic shoes, clothing, and accessories. An existing piece of equipment that keeps breaking down must be replaced....
Study smarter with the SolutionInn App