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OpenStudy (blockcolder):
Simple graph theory problem: If a graph has k vertices, all of which have degree at least (k-1)/2, then the graph is connected. Can't begin the proof by contradiction. Any hints?
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OpenStudy (anonymous):
what is the condition for a graph to be connected
OpenStudy (kinggeorge):
The graph must also be simple.
OpenStudy (kinggeorge):
And then it's easily proved by induction.
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