论文标题
在平面图的大小上，呈阳性lin-lu-yau ricci曲率
On the size of planar graphs with positive Lin-Lu-Yau Ricci curvature
论文作者
论文摘要
我们表明，如果具有至少$ 3 $的平面图$ g $在每个边缘的lin-lu-yau ricci曲率上，则$δ（g）\ leq 17 $，这意味着$ g $是有限的。这是Devos和Mohar [{\ em Trans的结果的类似物。阿米尔。数学。 Soc。，2007}]关于平面图的大小，具有正相曲率。
We show that if a planar graph $G$ with minimum degree at least $3$ has positive Lin-Lu-Yau Ricci curvature on every edge, then $Δ(G)\leq 17$, which then implies that $G$ is finite. This is an analogue of a result of DeVos and Mohar [{\em Trans. Amer. Math. Soc., 2007}] on the size of planar graphs with positive combinatorial curvature.
