The Ricci flow with prescribed curvature on graphs

Yong Lin, Shuang Liu

In this paper, we consider the Ricci flow with prescribed curvature on the finite graph $G=(V,E)$. For any $e$ in $E$, $$\frac{d\ddot{I}‰(t,e)}{dt}=-(\hat{I}º(t,e)-\hat{I}{º}^{\ast }(e))\ddot{I}‰(t,e),t>0,$$ w…