University of IsfahanTransactions on Combinatorics2251-865713420241201On topological charge indices of graphs3513612751710.22108/toc.2023.137285.2062ENMohammadShahryariDepartment of Mathematics, College of Science, Sultan Qaboos University, Muscat, Oman0000-0002-0463-2182GholamrezaVakili-NezhaadDepartment of Petroleum and Chemical Engineering, College of Engineering, Sultan Qaboos University, Muscat, Oman0000-0002-3011-678XJournal Article20230411We introduce a fast method of computing the topological charge indices of simple graphs (molecules) which does not require matrices of large sizes. For the case of trees, we give a compact formula and in the general case we obtain upper and lower bounds for the charge indices. We give concrete examples of trees and molecules with their charge indices computed using our method.https://toc.ui.ac.ir/article_27517_8d6b0407a642e3f3320021d2f198c115.pdf