To prove: A graphs of order n with at least ( n − 1 ) ( n − 2 ) 2 + 1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

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Answer 1

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Chapter 11, Problem 20E

To determine

To prove: A graphs of order n with at least (n−1)(n−2)2+1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

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4 3 2 -5 4-3 -2 -1 1 2 3 4 5 12 23 -4 The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

Question 4 The plot below represents the function f(x) 8 7 3 pts O -4-3-2-1 6 5 4 3 2 + 1 2 3 5 -2+ Evaluate f(3) f(3) = Solve f(x) = 3 x= Question 5

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Answer 2

Question

Chapter 11, Problem 20E

To determine

To prove: A graphs of order n with at least (n−1)(n−2)2+1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

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Answer 3

Question

Chapter 11, Problem 20E

To determine

To prove: A graphs of order n with at least (n−1)(n−2)2+1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

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Answer 4

Question

Chapter 11, Problem 20E

To determine

To prove: A graphs of order n with at least (n−1)(n−2)2+1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

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Answer 5

Chapter 11, Problem 20E

To determine

To prove: A graphs of order n with at least (n−1)(n−2)2+1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

Answer 6

Chapter 11, Problem 20E

To determine

To prove: A graphs of order n with at least (n−1)(n−2)2+1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

Answer 7

Chapter 11, Problem 20E

To determine

To prove: A graphs of order n with at least (n−1)(n−2)2+1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 11 - Prob. 1E Ch. 11 - Determine each of the 11 nonisomorphic graphs of...Ch. 11 - Does there exist a graph of order 5 whose degree...Ch. 11 - Does there exist a graph of order 5 whose degree...Ch. 11 - Use the pigeonhole principle to prove that f1...Ch. 11 - Let be a sequence of n nonnegative integers whose...Ch. 11 - Let G be a graph with degree sequence (d1, d2,...Ch. 11 - Draw a connected graph whose degree sequence...Ch. 11 - Prove that any two connected graphs of order n...Ch. 11 - Determine which pairs of the general graphs in...

To prove: A graphs of order n with at least ( n − 1 ) ( n − 2 ) 2 + 1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

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To prove: A graphs of order n with at least (n−1)(n−2)2+1 edges must be connected and find an example of a disconnected graph of order n with one fewer edge.

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Chapter 11 Solutions