Table 1 First five counting polynomials for the series of concealed non-Kekulean benzenoid graphs.
From: Certain polynomials and related topological indices for the series of benzenoid graphs
n | Ω(G, x) | Θ (G, x) | π(G, x) | Sd(G, x) |
|---|---|---|---|---|
1 | 6x3 + 6x2 + x | 18x3 + 12x2 + x | x30 + 12x29 + 18x28 | x30 + 6x29 + 6x28 |
2 | 2x6 + 2x4 + 6x3 + 5x2 | 12x6 + 8x4 + 18x3 + 10x2 | 10x46 + 18x45 + 8x44 + 12x42 | 5x46 + 6x45 + 2x44 + 2x42 |
3 | 4x6 + 2x5 + 2x4 + 5x3 + 4x2 | 24x6 + 10x5 + 8x4 + 15x3 + 8x2 | 8x63 + 15x62 + 8x61 + 10x60 + 24x59 | 4x63 + 5x62 + 2x61 + 2x60 + 4x59 |
4 | 8x6 + 2x5 + x4 + 4x3 + 4x2 | 48x6 + 10x5 + 4x4 + 12x3 + 8x2 | 8x80 + 12x79 + 4x78 + 10x77 + 48x76 | 4x80 + 4x79 + x78 + 2x77 + 8x76 |
5 | 2x7 + 10x6 + x5 + 4x3 + 4x2 | 14x7 + 60x6 + 5x5 + 12x3 + 8x2 | 8x97 + 12x96 + 60x93 + 5x94 + 14x92 | 4x97 + 4x96 + x94 + 10x93 + 2x92 |
