Revan and hyper-Revan indices of Octahedral and icosahedral networks
Publié en ligne: 03 oct. 2018
Pages: 33 - 40
Reçu: 07 nov. 2017
Accepté: 27 févr. 2018
© 2018 A. Q. Baig et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Fig. 1
Octahedral network OT3Fig. 2
The green and blue sheets show the comparison result for Revan index of first and second kind Octahedral network OTn respectively.Fig. 3
The green and blue sheets show the comparison result for hyper Revan index of first and second kind Octahedral network OTn respectively.Fig. 4
Icosahedral network IS3Fig. 5
The red and blue sheets show the comparison result for Revan index of first and second kind Isocahedral network ISn respectively.Fig. 6
The red and blue sheets show the comparison result for hyper Revan index of first and second kind Isocahedral network ISn respectively.Edge partition of octahedral network
(du, dv) | Number of edges | rG(u) | rG(v) |
---|
(4,4) | 18n2 + 12n | 8 | 8 |
(4,8) | 36n2 | 8 | 4 |
(8,8) | 18n2 — 12n | 4 | 4 |
Edge partition of Icosahedral Network
(du, dv) | Number of edges | rG(u) | rG(v) |
---|
(5,5) | 108n2 + 18n | 10 | 10 |
(5,10) | 54n2 — 6n | 10 | 5 |
(10,10) | 18n2 — 12n | 5 | 5 |