56 citations · 156 across the 13 of their papers we have counts for
17 papers
Complete characterization of the minimal-ABC trees
Darko Dimitrov, Zhibin Du
The problem of characterizing trees with minimal atom-bond-connectivity index (minimal-ABC trees) has a reputation as one of the most demanding recent open optimization problems in…
On the Extremal Graphs with Respect to Bond Incident Degree Indices
Akbar Ali, Darko Dimitrov
Many existing degree based topological indices can be classified as bond incident degree (BID) indices, whose general form is , where $uv…
Forbidden branches in trees with minimal atom-bond connectivity index
Darko Dimitrov, Zhibin Du, Carlos M. da Fonseca
The atom-bond connectivity (ABC) index has been, in recent years, one of the most actively studied vertex-degree-based graph invariants in chemical graph theory. For a given graph…
On structural properties of trees with minimal atom-bond connectivity index IV: Solving a conjecture about the pendent paths of length three
Darko Dimitrov
The atom-bond connectivity (ABC) index is one of the most investigated degree-based molecular structure descriptors with a variety of chemical applications. It is known that among…
Remarks on the maximum atom-bond connectivity index of graphs with given parameters
Darko Dimitrov, Barbara Ikica, Riste Škrekovski
The atom-bond connectivity (ABC) index is a degree-based molecular structure descriptor that can be used for modelling thermodynamic properties of organic chemical compounds. Motiv…
Remarks on the Graovac-Ghorbani index of bipartite graphs
Darko Dimitrov, Barbara Ikica, Riste Škrekovski
The atom-bond connectivity (ABC) index is a well-known degree-based molecular structure descriptor with a variety of chemical applications. In 2010 Graovac and Ghorbani introduced…