Part 3: Comparison of Dijkstra and Bellman-Ford algorithms In part 3, please answer the following five questions in your PDF. Question 1: What is the time complexity of Dijkstra's algorithm? Please briefly describe the steps of the algorithm to justify the time complexity. Question 2: What is the time complexity of Bellman-Ford algorithm? Please briefly describe the steps of the algorithm to justify the time complexity. Question 3: How does the distance vector routing algorithm send routing packets? (To all nodes or only to neighbors) Question 4: How does the link state routing algorithm send routing packets? (To all nodes or only to neighbors) Question 5: When a link cost changes, which steps does the distance vector algorithm take?

Part 3: Comparison of Dijkstra and Bellman-Ford algorithms In part 3, please answer the following five questions in your PDF. Question 1: What is the time complexity of Dijkstra's algorithm? Please briefly describe the steps of the algorithm to justify the time complexity. Question 2: What is the time complexity of Bellman-Ford algorithm? Please briefly describe the steps of the algorithm to justify the time complexity. Question 3: How does the distance vector routing algorithm send routing packets? (To all nodes or only to neighbors) Question 4: How does the link state routing algorithm send routing packets? (To all nodes or only to neighbors) Question 5: When a link cost changes, which steps does the distance vector algorithm take?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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1. Let i, i = 1,2,..., n + 1 different nodes and let yi € R, i = 1,2,...,n + 1. The interpolating polynomial is written in Newton's form as: Pn (x)= = a₁ + a₂(x − x₁) + a3(x − x₁)(x − x₂)+...+an+1(x − x₁)(x − Xn+1), where the coefficients ai, i = 1, ,...,n+ 1 can be computed using the following algorithm: Algorithm 1 Newton's polynomial aiyi, i = 1, 2, … … . n+1 for k= 2: n + 1 do for i 1 k-1 do ak = end for end for (akai)/(xk - Xi) If the coefficients a,, i = 1,..., n +1 are known, then the value of the interpolating polynomial at the point z can be computed using Horner's formula: Algorithm 2 Horner's formula S = an+1 for in-1:1 do s = a₁ + (2x₁) s end for Pn (2) = = S Remark: It is noted that in the loop conditions i=a:b:c of the previous pseudo-codes a is the starting value, the step and c the last value. (a) Write PYTHON 's functions coefs and evalp implementing the previously described algorithms for the coefficients of the interpolating polynomial and it's evaluation at values z…
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