Let G be a connected graph, and let C be any circuit in G that does not contain every
Chapter 10, Problem 44(choose chapter or problem)
Let G be a connected graph, and let C be any circuit in G that does not contain every vertex of C. Let \(G^{\prime}\) be the subgraph obtained by removing all the edges of C from G and also any vertices that become isolated when the edges of C are removed. Prove that there exists a vertex v such that v is in both C and \(G^{\prime}\).
Text Transcription:
G prime
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