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Existence of connected regular and nearly regular graphs. (arXiv:1801.08345v1 [math.CO])

来源于:arXiv
For integers $k \geq 2$ and $n \geq k+1$, we prove the following: If $n\cdot k$ is even, there is a connected $k$-regular graph on $n$ vertices. If $n\cdot k$ is odd, there is a connected nearly $k$-regular graph on $n$ vertices. 查看全文>>