Table 5 Calculation of order and size of these vertex deletion cubic fuzzy outerplanar subgraphs.
From: A fuzzy graph theoretic approach to face shape recognition using cubic outerplanar structures
S. no | Subsets | Vertex deleted cubic fuzzy outerplanar subgraphs | \({\mathbb{O}}^{-}({\varvec{\psi}})\) | \({\mathbb{O}}^{+}({\varvec{\psi}})\) | \({\mathbb{O}}^{\boldsymbol{*}}({\varvec{\psi}})\) | \({\mathbb{S}}^{-}({\varvec{\psi}})\) | \({\mathbb{S}}^{+}({\varvec{\psi}})\) | \({\mathbb{S}}^{\boldsymbol{*}}({\varvec{\psi}})\) |
|---|---|---|---|---|---|---|---|---|
1 | Figure 18(a) | \(\psi -{v}_{5}\) | 2.4 | 3.05 | 2.9 | 1.93 | 2.24 | 2.45 |
2 | Figure 18(b) | \(\psi -{v}_{2}\) | 2.1 | 2.75 | 2.6 | 1.8 | 1.8 | 2.1 |
3 | Figure 18(c) | \(\psi -{v}_{3}\) | 1.65 | 1.9 | 2.45 | 1.58 | 1.59 | 1 |
4 | Figure 18(d) | \(\psi -{v}_{1}\) | 1.8 | 1.8 | 2.6 | 1.25 | 0.95 | 2.25 |
5 | Figure 18(e) | \(\psi -{v}_{4}\) | 1.45 | 1.7 | 2.25 | 2.1 | 1.9 | 2.3 |
