Question: In graph theory, a Score complete graph G has an edge from every node to every other node. But, a transition graph TG is complete

In graph theory, a Score complete graph G has an edge from every node to every other node. But, a transition graph TG is complete only if there is an edge from every node to every node. Let |V| = n be the number of nodes in a graph. Prove that |E|=(2n) for a complete graph G. Prove that |E|= n2 for a complete transition graph TG.

Please explain me in detail

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Databases Questions!

Please solve the following using proof of induction. Please also complete the bonus section at the bottom and explain each step for my understanding. Don't copy and paste any previous or similar...

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

2. Consider the following data set consisting of four points: X1 = - [8], --[1].-= []. - [ ] Plot these points. We want to split this set to two classes. (a) Suppose you start the K-means algorithm...

everything above this is background information and everything below that says #grade is what i need help with Graphs In graph theory, a graph is a set of nodes ("vertices") that are connected to one...

Please answer questions labeled (3) and the bonus part at the bottom. Please verify answers to (1) and (2).. Provide clear steps for my understanding. Thanks! Bonus - Answers to verify...

Answer the questions numbers 3.1, 3.2, 3.4, 3.5, 3.6, 3.7, 3.8 186 CHAPTER 3 / THE CHURCH-TURING THESIS The following is a high-level description of a TM M that decides A. M = "On input G), the...

Question 1 *Multiplexer CPDs. What is the form of the independence that is implied by the multiplexer CPD and that we used in our derivation of the posterior over the parameters of the simple...

WILL UP VOTE!!! IF ANY QUESTIONS ASK!!! WE ARE WORKING ON DELIVERABLE B CLASS There are a total of 5 classes I have included screenshots of the shorter code and then copied the longer code import...

********************************************************************************************************************************************************************************************************...

You bought a Jeep Grand Cherokee at $50,000 today with zero down payment. You borrow a 60-month car loan. Loan rate is 5.4% APR compounded monthly (i.e. the monthly rate is APR/12). What is the equal...

Use the following information on current assets and current liabilities to compute and interpret the acid test ratio. Explain what the acid-test ratio of a companymeasures. Cash Accounts receivable...

A corporation reported $ 2 0 0 , 0 0 0 book depreciation on its financial statements and deducted $ 3 5 0 , 0 0 0 , 0 0 0 MACRS depreciation on its tax return. As a result, the company has a $ 1 5 0...

CT Corp Comprehensive Question Canadian Tire Corporation, Limited (Canadian Tire) is a family of companies that includes a retail segment and a financial services division, among others. The retail...

8-10 This project uses spreadsheet software to calculate anticipated annual losses from various security threats identified for a small company. Mercer Paints is a paint manufacturing company located...

8-8 Gifty is an online e-tailer for handmade gifts. Customers can purchase either via its Web site or via a mobile app. Prepare a security analysis for this Internet-based business. What kinds of...

8-16 Describe some of the weaknesses exploited by malware The IT sector is one of the key drivers of the European economy. It has been estimated that 60 percent of Europeans use the Internet...