论文标题
密度为$ z_3 $ - 流向关键图
On density of $Z_3$-flow-critical graphs
论文作者
论文摘要
对于Abelian Group $γ$，如果$ g $不承认零零$γ$ -Flow，则据说图$ G $是$γ$ - 流量的，但对于E（g）$中的每个边缘$ e \，CONTRACTION $ g/e $都不是零元素$ g $γ$ -Flow。获得了在固定表面上绘制的$ z_3 $ - 流界图的密度的结合，从Kostochka和Yancey概括了绑定在4-临界图的密度上的平面情况。
For an abelian group $Γ$, a graph $G$ is said to be $Γ$-flow-critical if $G$ does not admit a nowhere-zero $Γ$-flow, but for each edge $e\in E(G)$, the contraction $G/e$ has a nowhere-zero $Γ$-flow. A bound on the density of $Z_3$-flow-critical graphs drawn on a fixed surface is obtained, generalizing the planar case of the bound on the density of 4-critical graphs by Kostochka and Yancey.
