The hyper-Wiener index of graph operations

Reformulated First Zagreb Index of Some Graph Operations

“…There are several other papers concerning topological indices of different graph operations. For more results on topological indices of different graph operations, interested readers are referred to the papers [18][19][20][21][22].…”

GA2 index of some graph operations

“…In [17], Klavžar, Rajapakse and Gutman computed the Szeged index of the Cartesian product graphs. The recent authors, [1,2,9,11,12,13,14,15,16,18,24], computed some exact formulas for the hyper-Wiener, vertex PI, edge PI, the first Zagreb, the second Zagreb, the edge Wiener and the edge Szeged indices of some graph operations. The aim of this section is to continue this program for computing the GA 2 index of these graph operations.…”

Wiener-type invariants of some graph operations

“…The parts (a−e) are consequences of definitions and some well-known results of the book of Imrich and Klavžar, [7]. For the proof of (f−h) we refer to [11]. 2…”

“…In [14], Klavžar, Rajapakse and Gutman computed the Szeged index of the Cartesian product graphs. The present authors, [8,9,10,11,12,13,22], computed some exact formulae for the hyper-Wiener, vertex PI, edge PI, the first Zagreb, the second Zagreb, the edge Wiener and the edge Szeged indices of some graph operations. The aim of this section is to continue this program for computing the Wiener-type invariants for five graph operations.…”