论文标题

表征$ 3 $ - 级别的半径,具有独特的实现

Characterising $3$-polytopes of radius one with unique realisation

论文作者

Maffucci, Riccardo W.

论文摘要

让$ f $为平面,$ 3 $连接的半径图$ p $顶点,$ a $ a $第三级。我们表征了此类图的所有单次学位序列,当$ a \ geq 3 $和$ p $相对于$ a $足够大。这补充了\ cite {mafpo4}的工作,以$ a \ leq 3 $。

Let $F$ be a planar, $3$-connected graph of radius one on $p$ vertices, with $a$ vertices of degree three. We characterise all unigraphic degree sequences for such graphs, when $a\geq 3$ and $p$ is large enough with respect to $a$. This complements the work of \cite{mafpo4} for $a\leq 3$.

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