contradiction
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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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Solution Summary
This solution of 109 words exemplifies two contradictions.
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Let T be a tree with more n > 3 vertices. By definition, this is equivalent to T being connected with n-1 edges. Adding any additional edge creates ...
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