7. Consider the following game. You are given N vertices and allowed to build a graph by adding edges connecting the vertices. This time, each edge you add earns you $10. However you are not allowed to add loops (edges with both ends at the same vertex), nor to duplicate edges, and you have to stop adding edges before the graph is connected. Describe the strategy that will earn you the most money. What is the maximum earnings, in terms of N?
7. Consider the following game. You are given N vertices and allowed to build a graph by adding edges connecting the vertices. This time, each edge you add earns you $10. However you are not allowed to add loops (edges with both ends at the same vertex), nor to duplicate edges, and you have to stop adding edges before the graph is connected. Describe the strategy that will earn you the most money. What is the maximum earnings, in terms of N?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:7. Consider the following game. You are given N vertices and allowed to build a graph
by adding edges connecting the vertices. This time, each edge you add earns you
$10. However you are not allowed to add loops (edges with both ends at the same
vertex), nor to duplicate edges, and you have to stop adding edges before the graph
is connected. Describe the strategy that will earn you the most money. What is the
maximum earnings, in terms of N?
I only OTTOPTOMA
ons
present
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