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Let G be a simple graph (no loops or multi-edges) and G' denote the complement of G. It is known that the number of edges in G and G' are 15 and 30, respectively. It is further known that G is a connected d-regular graph. Determine d and draw 2 different examples of such G. Does there exists G with diameter 5?

Let G be a simple graph (no loops or multi-edges) and G' denote the complement of G. It is known that the number of edges in G and G' are 15 and 30, respectively. It is further known that G is a connected d-regular graph. Determine d and draw 2 different examples of such G. Does there exists G with diameter 5?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let G be a simple graph (no loops or multi-edges) and G' denote the complement of G. It is known that the number of edges in G and G' are 15 and 30, respectively. It is further known that G is a connected d-regular graph. Determine d and draw 2 different examples of such G. Does there exists G with diameter 5?
Transcribed Image Text:Let G be a simple graph (no loops or multi-edges) and G' denote the complement of G. It is known that the number of edges in G and G' are 15 and 30, respectively. It is further known that G is a connected d-regular graph. Determine d and draw 2 different examples of such G. Does there exists G with diameter 5?
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