On the inverse problem of some bond additive indices

Inverse problem of topological indices deals with establishing whether or not a given number is a topological index of some graph. In this paper, we study the inverse topological index problem of some bond additive indices. In [3], it was conjectured that every positive integer except finitely many can be the Mostar index and edge Mostar index of some c-cyclic graph. We solve this conjecture for tricyclic graphs. We also study the inverse Albertson index problem and inverse sigma index problem for cacti and for cyclic graphs.