4. Draw a directed graph using the following binary relation A, using only unidirectional arcs. A={(1,3)(1,6),(2,3),(2,8),(3,5),(3,6),(4,1),(4,5),(5,4),(6,3),(7,6),(7,2),(8,3)} a. What is the in-degree of each of the nodes in this graph? b. What is the out-degree of each of the nodes in this graph? c. Based on the graph from problem 4, identify a cycle of length 4 or greater.
4. Draw a directed graph using the following binary relation A, using only unidirectional arcs. A={(1,3)(1,6),(2,3),(2,8),(3,5),(3,6),(4,1),(4,5),(5,4),(6,3),(7,6),(7,2),(8,3)} a. What is the in-degree of each of the nodes in this graph? b. What is the out-degree of each of the nodes in this graph? c. Based on the graph from problem 4, identify a cycle of length 4 or greater.
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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4. Draw a directed graph using the following binary relation A, using only unidirectional arcs. A={(1,3)(1,6),(2,3),(2,8),(3,5),(3,6),(4,1),(4,5),(5,4),(6,3),(7,6),(7,2),(8,3)}
a. What is the in-degree of each of the nodes in this graph?
b. What is the out-degree of each of the nodes in this graph?
c. Based on the graph from problem 4, identify a cycle of length 4 or greater.
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