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Chapter 2, Problem 31E Step-by-step solution Step 1 of 1 Eccentricities of each vertex in the free tree Consider the following free tree. 4 9 7 1 10 5 2 8 6 3 The eccentricities of each vertex in the free tree are Eccentricity of vertex 1 = 5 Eccentricity of vertex 2 = 4 Eccentricity of vertex 3 = 5 Eccentricity of vertex 4 = 4 Eccentricity of vertex 5 = 3 Eccentricity of vertex 6 = 4 Eccentricity of vertex 7 = 3 Eccentricity of vertex 8 = 4 Eccentricity of vertex 9 = 4 Eccentricity of vertex 10 = 5

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