Solution Found!

Computer science / Algorithms 1 / Chapter 3 / Problem 3.30

Algorithms | 1st Edition | ISBN: 9780073523408 | Authors: Sanjoy Dasgupta Algorithms, Christos H. Papadimitriou Algorithms, Umesh Vazirani Algorithms

Change Question

On page 102, we defined the binary relation connected on the set of vertices of a

Chapter 3, Problem 3.30

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

On page 91, we defined the binary relation “connected” on the set of vertices of a directed graph. Show that this is an equivalence relation (see Exercise 3.29), and conclude that it partitions the vertices into disjoint strongly connected components.

Questions & Answers

QUESTION:

On page 91, we defined the binary relation “connected” on the set of vertices of a directed graph. Show that this is an equivalence relation (see Exercise 3.29), and conclude that it partitions the vertices into disjoint strongly connected components.

ANSWER:

Step 1 of 2

In relation, when it satisfies all the three properties such that reflexive, symmetric, and transitive is known as equivalence relation.

A binary relation on a set is said to have the following three properties, when it satisfies the condition:

- Reflexive: If for all

- Symmetric: If implies

- Transitive: If and implies

Study Tools You Might Need

Chapter: 6 Problem: 99P

Introductory Chemistry 5
A compound containing carbon and hydrogen has a molar mass of 56.11 g/mol and an empirical formula of \(\mathrm{CH}_{2}\). Determine its molecular formula. Equation Transcription: Text Transcription: CH_2

Chapter: 10 Problem: 6Q

Introductory Chemistry 5
What is the difference between lone pair and bonding pair electrons?

Chapter: 2 Problem: 2.12

Sears and Zemansky's University Physics with Modern Physics 13
Figure E2.12 shows the velocity of a solar-powered car as a function of time. The driver accelerates from a stop sign, cruises for 20 s at a constant speed of and then brakes to come to a stop 40 s after leaving the stop sign. (a) Compute the average acceleration during the following time intervals:

Chapter: 8 Problem: 29

Anatomy & Physiology 1
The tibia ________. a. has an expanded distal end called the lateral malleolus b. is not a weight-bearing bone c. is firmly anchored to the fibula by an interosseous membrane d. can be palpated (felt) under the skin only at its proximal and distal ends

Chapter: 10 Problem: 6

Biology 2e by Openstax
Identical copies of chromatin held together by cohesin at the centromere are called _____. a. histones. b. nucleosomes. c. chromatin. d. sister chromatids.

Chapter: 34 Problem: 1

Biology 2e by Openstax
Figure 34.11 Which of the following statements about the digestive system is false? a. Chyme is a mixture of food and digestive juices that is produced in the stomach. b. Food enters the large intestine before the small intestine. c. In the small intestine, chyme mixes with bile, which emulsifies fat

Chapter: 21 Problem: 1

Biology 2e by Openstax
Figure 21.5 Which of the following statements about virus structure is true? a. All viruses are encased in a viral membrane. b. The capsomere is made up of small protein subunits called capsids. c. DNA is the genetic material in all viruses. d. Glycoproteins help the virus attach to the host cell

Chapter: 14 Problem: 1

Urban Economics 8
Churches, Incinerators, and Housing Prices Recent hedonic studies of urban housing markets have concluded that the price of housing is higher closer to churches, and lower closer to incinerators. Suppose that price of a house one kilometer from a church is $7,000 higher than an identical house two ki

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account