Exist a connected n-vertex simple graph
Discussion:
Prove or disprove:
a. There exist a connected n-vertex simple graph with n+1 edges that contains exactly two cycles.
b. There does not exist a connected n-vertex simple graph with n+2 edges that contains four edge-disjoint cycles.
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There exist a connected n-vertex simple graph with n+1 edges that contains exactly two cycles.
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