Math Problem Statement
Let G be a kconnected graph and let v1, v2, . . . , vk be k distinct vertices of G. Let H the graph obtained from G by adding a new vertex w and k new edges joining w and v1, v2, . . . , vk, respectively. Prove that κ(H) = k by using Menger’s theorem and Whitney’s inequalities.
Solution
Math Problem Analysis
Mathematical Concepts
Graph Theory
Connectivity
Menger's Theorem
Whitney's Inequality
Formulas

Theorems
Menger's Theorem
Whitney's Inequality
Suitable Grade Level
Advanced Undergraduate
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