Sharp bounds of the zeroth-order general Randić index of bicyclic graphs with given pendent vertices

Let image be a simple connected graph and image be a given real number. The zeroth-order general Randić index of image is defined as image, where image denotes the degree of the vertex image of image. In this paper, for any image, we give sharp bounds of the zeroth-order general Randić index image of all bicyclic graphs with image vertices and image pendent vertices.