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Problem 3. A graph is a way of representing the relationships between elements in a set: an edge between the vertices x and y tells us that x is related to y (which we can write as x~y). Not all sorts of relationships can be represented by a graph though. For each relationship described below, either draw the graph or explain why the relationship cannot be represented by a graph. a. The set V={1,2,...,.9) and the relationship x~y when x-y is a non-zero multiple of 3. b. The set V=(1,2,...,9) and the relationship x~y when y is a multiple of x. c. The set V={1,2,...,9) and the relationship x~y when 0< x-y|<3.

Problem 3. A graph is a way of representing the relationships between elements in a set: an edge between the vertices x and y tells us that x is related to y (which we can write as x~y). Not all sorts of relationships can be represented by a graph though. For each relationship described below, either draw the graph or explain why the relationship cannot be represented by a graph. a. The set V={1,2,...,.9) and the relationship x~y when x-y is a non-zero multiple of 3. b. The set V=(1,2,...,9) and the relationship x~y when y is a multiple of x. c. The set V={1,2,...,9) and the relationship x~y when 0< x-y|<3.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 3. A graph is a way of representing the relationships between elements in a set: an edge between the vertices x and y tells us that x is related to y (which we can write as x~y). Not all sorts of relationships can be represented by a graph though. For each relationship described below, either draw the graph or explain why the relationship cannot be represented by a graph. a. The set V={1,2,...,9) and the relationship x~y when x-y is a non-zero multiple of 3. b. The set V=(1,2,...,9) and the relationship x~y when y is a multiple of x. c. The set V={1,2,...,9) and the relationship x~y when 0<|x-y|<3.
Transcribed Image Text:Problem 3. A graph is a way of representing the relationships between elements in a set: an edge between the vertices x and y tells us that x is related to y (which we can write as x~y). Not all sorts of relationships can be represented by a graph though. For each relationship described below, either draw the graph or explain why the relationship cannot be represented by a graph. a. The set V={1,2,...,9) and the relationship x~y when x-y is a non-zero multiple of 3. b. The set V=(1,2,...,9) and the relationship x~y when y is a multiple of x. c. The set V={1,2,...,9) and the relationship x~y when 0<|x-y|<3.
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