We study optimal minimum degree conditions when an $n$-vertex graph $G$ contains an $r$-regular $r$-connected subgraph. We prove for $r$ fixed and $n$ large the condition to be $\delta(G) \ge \frac{n+r-2}{2}$ when $nr \equiv 0 \pmod 2$. This answers a question of M.~Kriesell.
翻译:我们研究的是最低程度的最佳条件,当一美元/顶价图$G$包含一美元-经常美元-美元-连带子图时,我们证明,以固定美元和大美元计算,条件为$delta(G)\ge\frac{n+r-2 ⁇ 2}$nr\equiv 0\pmod 2$。这回答了M.~Kriesell的问题。