Resumen de The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter

Nair Abreu, Eber Lenes, Óscar Luis Rojo Jeraldo

• A complete caterpillar is a caterpillar in which each internal vertex is a quasi-pendent vertex. In this paper, in the class of all complete caterpillars on n vertices and diameter d, the caterpillar attaining the largest Laplacian index is determined. In addition, it is proved that this caterpillar also attains the largest adjacency index.