Conjugated trees with minimum general Randić index Original Research Article

The general Randić index image is the sum of the weights image over all edges image of a (molecular) graph image, where image is a real number and image is the degree of the vertex image of image. In this paper, for any real number image, the minimum general Randić index image among all the conjugated trees (trees with a Kekulé structure) is determined and the corresponding extremal conjugated trees are characterized. These trees are also extremal over all the conjugated chemical trees.