Math Problem Statement
Let n ≥ 4. What is the maximum possible number of edges in a graph with n vertices and n - 2 connected components? Prove your answer.
Solution
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Math Problem Analysis
Mathematical Concepts
Graph Theory
Connected Components
Edge Counting
Formulas
E = 1 (for the component with 2 vertices)
Theorems
-
Suitable Grade Level
Grades 11-12
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