论文标题

顶点图的极端函数

The Extremal Function for Apex Graphs

论文作者

Pavelescu, Elena

论文摘要

麦卡蒂(McCarty)和托马斯(Thomas)猜想,带有$ n \ ge 7 $顶点和$ t $ triangles的无连锁嵌入式图最多具有$ 3n-9 +\ frac {t} {3} $ edges。托马斯(Thomas)和尤(Yoo)证明这对于顶点图是正确的。我们为Apex情况提供了更短,更简单的证明。

McCarty and Thomas conjectured that a linklessly embeddable graph with $n\ge 7 $ vertices and $t$ triangles has at most $3n-9 +\frac{t}{3}$ edges. Thomas and Yoo proved this to be true for apex graphs. We give a shorter and simpler proof for the apex case.

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