Abstract
In [Z. Chen, M. Dehmer, Y. Shi, H. Yang, Sharp upper bounds for the Balaban index of bicyclic graphs, MATCH Communications in Mathematical and in Computer Chemistry, 75 (2016) 105-128.], the authors gave sharp upper bounds on Balaban index and sum-Balaban index for bicyclic graphs. We find that there are some aws in this paper, and that there exists bicyclic graphs which having greater Balaban index and sum-Balaban index than what are claimed by Chen at al. In this paper, we amend the upper bounds of Balaban index and sum-Balaban index for bicyclic graphs, and characterize the bicyclic graphs which attain the new bounds.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 129-156 |
| Number of pages | 28 |
| Journal | Match |
| Volume | 75 |
| Issue number | 1 |
| State | Published - Jan 1 2016 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Chemistry
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics