Matrices, Relations and Digraphs

Please see the attached file for the fully formatted problems. 5. Let A = {a, b, c}, and let R be the relation defined on A defined by the following matrix: MR = (a) Describe R by listing the ordered pairs in R and draw the digraph of this relation. (b) Which of the properties: reflexive, antisymmetric and t ...continues

Matrices and Relations

Let D = days of the week {M, T, W, R, F}, E = {Brian (B), Jim (J), Karen (K)} be the employees of a tutoring center at a University and let U = {Courses the tutoring center needs tutors for} = {Calculus I (I), Calculus II (II), Calculus III (III), Computers I (C1), Computers II (C2), Precalculus (P)}. We defin ...continues

Is this relation a partial order?

I need help with question 1.c. Is this relation a partial order? Explain. If this relation a partial order, draw its Hasse diagram.

Discrete Structures

Please see the attachment for full problems descripton.

Relations and Graph Theory

a)Explain what do you mean by a 'Relation' in Mathematics. b) Create a Binary Relation between X and Y that contains at least 6 Ordered Pairs, given that X and Y are the following: Let the set X = {Bill Smith, Amos Black, Tarra Sigorney, Alfred Ross} Let the set Y = {MAT 102, ENG 202. PSY 303, BUS 405} c) Given the fol ...continues

Functions and graph theory

Part 2 : Functions a) Define a function in one paragraph b) Is the following relation also a function? Why or why not? If it is not a function, alter it to make it into a function. {(Bill Smith, MAT 102), (Bill Smith, BUS 405), (Amos Black, ENG202), (Tarra Sigorney, ENG202), (Alfred Ross, PSY303), (Tarra Sigorney, MAT 102 ...continues

Graph theory-Tree and Tree Structures

Part 3: Trees and Tree Structures Trees can be used for many applications in computer science. One of these applications is decision-making, which is often used in the creation and analysis of databases. a) In one paragraph, define what trees are. Be sure to mention the difference between binary and n-ary trees. b) Repres ...continues

graphs and trees in Discrete Mathematics

Describe the relationship between graphs and trees and then discuss why trees are a subset of graphs. How can a tree be used to outline a data type? Remember that the data type student has attributes such as first name, last name, student number, and registered courses. Would a graph be a better construct than a tree for des ...continues

Discrete structures

1. Use the Euclidean algorithm to find a) gcd(100, 101) 2. gcd(123, 277) 3. gcd(1529, 14039) 2. consider congruence x^2 ≡ 16 (mod 105) for integer x a. Give one sample solution of the congruence in the range 0≤x≤104 that is different from 4 and also from 101 b. Find the number of solutions of ths congru ...continues

Describes and discusses the Finite state automation and give and example also.

An overview of languages, grammars, and automata theory.Describes and Discusses the following term Include an example. 1. Finite state automation