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9. Consider the graph G defined as follows: G has exactly 6 vertices, labelled by the integers 1, 2, 3, 4, 5 and 6. ● Two vertices i and j are adjacent if and only i+j≥ 7. (For example, 1 is 6 because 1 + 6 = 7, but 1 is not adjacent to 3 because 1 + 3 =4<7.) What is the length of the longest cycle in G? (Hint: draw the graph.) (a) 3 (b) 4 (c) 5

9. Consider the graph G defined as follows: G has exactly 6 vertices, labelled by the integers 1, 2, 3, 4, 5 and 6. ● Two vertices i and j are adjacent if and only i+j≥ 7. (For example, 1 is 6 because 1 + 6 = 7, but 1 is not adjacent to 3 because 1 + 3 =4<7.) What is the length of the longest cycle in G? (Hint: draw the graph.) (a) 3 (b) 4 (c) 5

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.3: Logarithmic Functions And Their Graphs
Problem 137E
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9. Consider the graph G defined as follows: G has exactly 6 vertices, labelled by the integers 1, 2, 3, 4, 5 and 6. Two vertices i and j are adjacent if and only i+j> 7. (For example, 1 is adjacent to 6 because 1 + 6 = 7, but 1 is not adjacent to 3 because 1+3=4<7.) What is the length of the longest cycle in G? (Hint: draw the graph.) (a) 3 (b) 4 (c) 5 (d) 6
Transcribed Image Text:9. Consider the graph G defined as follows: G has exactly 6 vertices, labelled by the integers 1, 2, 3, 4, 5 and 6. Two vertices i and j are adjacent if and only i+j> 7. (For example, 1 is adjacent to 6 because 1 + 6 = 7, but 1 is not adjacent to 3 because 1+3=4<7.) What is the length of the longest cycle in G? (Hint: draw the graph.) (a) 3 (b) 4 (c) 5 (d) 6
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