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Computing topological indices of the line graphs of Banana tree graph and Firecracker graph

Muhammad Shoaib Sardar

Muhammad Shoaib Sardar

University of Management and Technology (UMT)Lahore, Pakistan
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Sardar, Muhammad Shoaib
, 
Sohail Zafar

Sohail Zafar

University of Management and Technology (UMT)Lahore, Pakistan
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Zafar, Sohail
 e 
Zohaib Zahid

Zohaib Zahid

University of Management and Technology (UMT)Lahore, Pakistan
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Zahid, Zohaib
  
13 mar 2017
Computing topological indices of the line graphs of Banana tree graph and Firecracker graph's Cover Image
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Pubblicato online: 13 mar 2017
Pagine: 83 - 92
Ricevuto: 06 nov 2016
Accettato: 13 mar 2017
DOI: https://doi.org/10.21042/AMNS.2017.1.00007
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© 2017 Muhammad Shoaib Sardar, Sohail Zafar and Zohaib Zahid, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

The Banana tree graph B3,5.
The Banana tree graph B3,5.

Fig. 2

The line graph of Banana tree graph B3,5.
The line graph of Banana tree graph B3,5.

Fig. 3

The Firecracker graph F4,7.
The Firecracker graph F4,7.

Fig. 4

The line graph of Firecracker graph F4,7.
The line graph of Firecracker graph F4,7.

The size partition of G_

(Su,Sv) : uv ∈ E(G)(2k + 3,k2 − 4k + 7)(2k + 3,2k + 7)(2k + 3,k2 − 4k + 11)(2k + 7,k2 − 4k + 11)
Number of edges2222
(Su,Sv) : uv ∈ E(G)(2k + 7,k2 − 4k + 12)(2k + 7,2k + 8)(2k + 8,2k + 8)(k2 − 4k + 5,k2 − 4k + 7)
Number of edges22n − 62(k − 2)
(Su,Sv) : uv ∈ E(G)(k2 − 4k + 6,k2 − 4k + 7)(k2 − 4k + 11,k2 − 4k + 6)(k2 − 4k + 12,k2 − 4k + 6)(k2 − 4k + 12,2k + 8)
Number of edges(n−2)(k2−5k+6)2$\begin{array}{} \displaystyle \frac{{(n - 2)({k^2} - 5k + 6)}}{2} \end{array}$2(k − 2)(n − 4)(k − 2)2(n − 5)
(Su,Sv) : uv ∈ E(G)(k2 − 4k + 5,k2 − 4k + 7)   
Number of edgesk2 − 5k + 6   
Lingua:
Inglese
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1 volte all'anno
Argomenti della rivista:
Scienze biologiche, Scienze della vita, altro, Matematica, Matematica applicata, Matematica generale, Fisica, Fisica, altro
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