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Revan and hyper-Revan indices of Octahedral and icosahedral networks

Abdul Qudair Baig

Abdul Qudair Baig

Department of Mathematics, The University of LahoreLahore, Pakistan
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Baig, Abdul Qudair
, 
Muhammad Naeem

Muhammad Naeem

Department of Mathematics, The University of LahoreLahore, Pakistan
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Naeem, Muhammad
 y 
Wei Gao

Wei Gao

School of Information Science and Technology, Yunnan Normal UniversityKunming, China
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Gao, Wei
  
03 oct 2018
Revan and hyper-Revan indices of Octahedral and icosahedral networks's Cover Image
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Publicado en línea: 03 oct 2018
Páginas: 33 - 40
Recibido: 07 nov 2017
Aceptado: 27 feb 2018
DOI: https://doi.org/10.21042/AMNS.2018.1.00004
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© 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 OT3
Octahedral network OT3

Fig. 2

The green and blue sheets show the comparison result for Revan index of first and second kind Octahedral network OTn respectively.
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.
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 IS3
Icosahedral network IS3

Fig. 5

The red and blue sheets show the comparison result for Revan index of first and second kind Isocahedral network ISn respectively.
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.
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 edgesrG(u)rG(v)
(4,4)18n2 + 12n88
(4,8)36n284
(8,8)18n2 — 12n44

Edge partition of Icosahedral Network

(du, dv)Number of edgesrG(u)rG(v)
(5,5)108n2 + 18n1010
(5,10)54n2 — 6n105
(10,10)18n2 — 12n55
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Ciencias de la vida, Ciencias de la vida, otros, Matemáticas, Matemáticas aplicadas, Matemáticas generales, Física, Física, otros
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