论文标题
仙人掌方向的最大零订单兰迪奇指数
Maximum zeroth-order general Randić index of orientations of cacti
论文作者
论文摘要
$ n $ vertices的零订单randić索引$ r^{0} _ {a+1} $面向面向的图形$ d $等于$（d^{+} _ {+} _ {u_i} _ {u_i}） $ d $，我们用$ d^{+} _ {u_i} $表示顶点$ u_i $和$ d^{ - } _ {u_j} $ the Vertex $ u_j $，$ a $是一个任意实际的实际号码。在论文中，我们确定了仙人掌的方向，其最大值为$ a \ geq 1 $的零订单将军兰迪奇指数。
The zeroth-order general Randić index $R^{0}_{a+1}$ of an $n$-vertices oriented graph $D$ is equal to the sum of $(d^{+}_{u_i})^{a}+(d^{-}_{u_j})^{a}$ over all arcs $u_iu_j$ of $D$, where we denote by $d^{+}_{u_i}$ the out-degree of the vertex $u_i$ and $d^{-}_{u_j}$ the in-degree of the vertex $u_j$, $a$ is an arbitrary real number. In the paper, we determine the orientations of cacti with the maximum value of the zeroth-order general Randić index for $a\geq 1$.
