| Characteristics polynomial of normalized Laplacian for trees | 0 | 0.34 | 2015 |
| Effect on normalized graph Laplacian spectrum by motif attachment and duplication. | 4 | 0.66 | 2015 |
| General Randić indices for matching and $\cal{L}$-characteristics polynomial of Starlike trees. | 0 | 0.34 | 2014 |
| Effect on normalized graph Laplacian spectrum by motif joining and duplication | 0 | 0.34 | 2012 |
