<abstract xmlns="http://www.w3.org/1999/xhtml">

In this paper, we define new graph operations <italic>F</italic>-composition <italic>F</italic> (<italic>G</italic>)[<italic>H</italic>], where <italic>F</italic> (<italic>G</italic>) be one of the symbols <italic>S</italic>(<italic>G</italic>)<italic>,M</italic>(<italic>G</italic>)<italic>,Q</italic>(<italic>G</italic>)<italic>,T</italic>(<italic>G</italic>),Λ(<italic>G</italic>),Λ[<italic>G</italic>]<italic>,D</italic>2(<italic>G</italic>)<italic>,D</italic>2[<italic>G</italic>]. Further, we give some results for the Wiener indices of the these graph operations.</abstract>

In this paper, we define new graph operations F-composition F (G)[H], where F (G) be one of the symbols S(G),M(G),Q(G),T(G),Λ(G),Λ[G],D2(G),D2[G]. Further, we give some results for the Wiener indices of the these graph operations.

New composition of graphs and their Wiener Indices

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"New composition of graphs and their Wiener Indices"}

In this paper, we define new graph operations F-composition F (G)[H], where F (G) be one of the symbols S(G),M(G),Q(G),T(G),Λ(G),Λ[G],D2(G),D2[G]. Further, we...

New composition of graphs and their Wiener Indices

Published Online: Jun 28, 2019

Page range: 163 - 168

Received: Nov 28, 2018

Accepted: May 10, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00016

Keywords
Wiener index, composition of two graphs, total graph, splitting graph, shadowgraph

© 2019 S. Goyal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

New composition of graphs and their Wiener Indices

Published Online: Jun 28, 2019

Page range: 163 - 168

Received: Nov 28, 2018

Accepted: May 10, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00016

KeywordsWiener index, composition of two graphs, total graph, splitting graph, shadowgraph

© 2019 S. Goyal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Keywords
Wiener index, composition of two graphs, total graph, splitting graph, shadowgraph