Abstract
AbstractThe Wiener and Kirchhoff indices of a graph G are two of the most important topological indices in mathematical chemistry. A graph G is called to be a globular caterpillar if G is obtained from a complete graph K s with vertex set {v1,v2,…, v s} by attaching n i pendent edges to each vertex v i of K s for some positive integers s and n1,n2,…,n s, denoted by . Let be the set of globular caterpillars with n vertices (). In this article, we characterize the globular caterpillars with the minimal and maximal Wiener and Kirchhoff indices among , respectively.
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