Let (A) be the adjacency matrix of an undirected graph (G). Show that (A^{2}(i, i)=d(i)).

Question:

Let \(A\) be the adjacency matrix of an undirected graph \(G\). Show that \(A^{2}(i, i)=d(i)\).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To The Mathematics Of Operations Research With Mathematica

ISBN: 9781574446128

1st Edition

Authors: Kevin J Hastings

See More Books

Question Posted: May 19, 2024 02:01 AM

1456HHSC attend all (a) In the quantum teleportation protocol, Alice and Bob are every in possession of one qubit of a couple in the joint country00i + statei. Explain how the protocol works. In...
Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...
a) A financial institution is a financial intermediary (FI'S) that facilitates the transfer of funds between suppliers and users of funds. Briefly explain the benefits that FI's provide to the...
Suppose you are going to put up your own company, list down at least ten of your possible contributions to the socio-economic development in your community. Name of Business: Name of Owner/s: 2. 4....
A laser beam of intensity I reflect from a flat, totally reflecting surface of area A, with a normal at angle with the beam. Write an expression for the beam's radiation pressure pr () on the...
Would it be possible to place the RTP code in the operating system kernel, along with the UDP code? Explain your answer.
Mazda is trying to assess the performance of two manufacturers that could supply music systems for its vehicles. Using the information in the accompanying table, determine which manufacturer Mazda...
Answer the questions below for assets A to D shown in the table. Asset Beta A ...... 0.50 B ...... 1.60 C ...... 0.20 D ...... 0.90 a. What impact would a 10% increase in the market return be...
The marketing department of Jessi Corporation has submitted the following sales forecast for the upcoming fiscal year Budgeted sales (units) 1st Quarter 8,400 2nd Quarter 10,400 3rd Quarter 12,400...
Two graphs \(G_{1}=\left(V_{1}, E_{1} ight)\) and \(G_{2}=\left(V_{2}, E_{2} ight)\) are called isomorphic if there is a one-to-one onto function \(f: V_{1} ightarrow V_{2}\) such that for all \(v, w...
Write a Mathematica command that takes the adjacency matrix of a graph and a vertex, and returns the degree of that vertex. Test it on all the vertices of the graph of Figure 1.4.
A uniformly distributed space charge fills up the space between two large parallel plates separated by a distance d. The potential difference between the plates is equal to . At what value of charge...
The following graph shows a market supply curve in orange and a market demand curve in blue. Suppose there is an increase in demand and an increase in supply. Adjust the following graph to reflect...
AICPA and PCAOB auditing standards address the confirmation of accounts receivables. Under the currently effective standards, what are the circumstances under which confirmation of accounts...
Maphitha Limited produces a single type of a product. The company uses an actual costing system. The following information has been taken from the company's production and sales records for the month...
Master Budget was made for annual sale of 100,000 units @10 per unit. Actual sales figures were 80,000 units with a sales revenues of 840,00. The standard cost sheet indicated a variable...
Sales of a product was estimated at 80,000 pieces annually with a rate of 6 pu. Its variable mfg. costs are 2.50 pu with S&D and general expenses related to product is 59,000 on annual basis. Its...
Describe the difference between (1) The installment sales method and (2) The cost recovery method of recognizing revenue. When is each method appropriate?
CRUZ, INC. Comparative Balance Sheets December 31, 2015 CRUZ, INC. Income Statement For Year Ended December 31, 2015 Required Use the indirect method to prepare the cash provided or used from...
Indicate whether the following managerial policy increases the risk of a death spiral:Use of low operating leverage for productionGroup of answer choicesTrueFalse
It is typically inappropriate to include the costs of excess capacity in product prices; instead, it should be written off directly to an expense account.Group of answer choicesTrueFalse
Firms can avoid the death spiral by excluding excess capacity from their activity bases. Group of answer choicesTrueFalse

Let (A) be the adjacency matrix of an undirected graph (G). Show that (A^{2}(i, i)=d(i)).

Question:

Step by Step Answer:

It has already been proved that A 2 i i is the number of paths of length 2 ...View the full answer

Introduction To The Mathematics Of Operations Research With Mathematica

Students also viewed these Mathematics questions