4. A) Given the set A = {1,2,3,4} and relations R defined on set A as follows: R = {(1,1), (1,2), (2,1), (2,2), (3,3), (4,4)} i) Represent the relation R in a directed graph. ii) By explaining from the directed graph: Is the relation R reflexive? Symmetric? Asymmetric? Transitive? Equivalence? B) Solve the following recurrence relations using an appropriate method for each. i) Un = Un-1 + n² with U₁ = 3 ii) Un = 7Un-1 + 1 with U₁ = 1 iii) Un = 3Un-1 + 4Un-2 with Uo with Uo = 2 and U₁ = 3

4. A) Given the set A = {1,2,3,4} and relations R defined on set A as follows: R = {(1,1), (1,2), (2,1), (2,2), (3,3), (4,4)} i) Represent the relation R in a directed graph. ii) By explaining from the directed graph: Is the relation R reflexive? Symmetric? Asymmetric? Transitive? Equivalence? B) Solve the following recurrence relations using an appropriate method for each. i) Un = Un-1 + n² with U₁ = 3 ii) Un = 7Un-1 + 1 with U₁ = 1 iii) Un = 3Un-1 + 4Un-2 with Uo with Uo = 2 and U₁ = 3

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

See similar textbooks

Similar questions

Let Sso denote the set of divisors of 80. Let D be the division relation: D={(x, y)|x divides y}. Show that (S0, D) is a lattice and draw its Hasse diagram.
Let A={a,b,c,d} and let R={(a,b)(b,c)(c,d)(d,b)} be a relation on A. Represent the relation using directed graph
Please answer it perfectly
Determine whether the relation represented by the directed graph is a partial order.
What is the reflexive transitive closure R* of the relation R = {(a,b), (a, c), (a, d), (d, c), (d, e)}? Draw a directed graph representing R*.
Please correct answer with explanation Thanks
Let R be a relation on set {1,2,3,4,5} with R = {(1,2), (1,3), (2, 1), (3,2), (4,5), (5,4)}. Represent R as a directed graph G and answer the following questions: a. Is there a walk of length 3 from 1 to 4 in G? If so, find one. If not, explain why. b. Is there a cycle of length 3 starting at 2 in G? If so, find one. If not, explain why. c. Is there an edge from 3 to 2 in G³? Justify your answer.
fhjf
is
For a given relation R on the set A, let M stand for the matrix representation of R. Let's pretend there's a set A with n unique items. Therefore, M would be an n-by-n matrix. If R is a rooted (directed) tree, how many 0s and 1s does M have?
A network topology specifies how computers, printers, and other devices are connected over a network. The figure below illustrates three common topologies of networks: Ring, Star, and Fully Connected Mesh. You are given a boolean matrix A[0..n−1, 0..n−1], where n > 3, which is supposed to be the adjacency matrix of a graph modeling a network with one of these topologies. Your task is to determine which of these three topologies, if any, the matrix represents. Design a brute-force algorithm for this task and indicate its time efficiency class.
Question 25 Please choose the right option wisely.