<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

Publié en ligne: 28 juin 2019

Pages: 163 - 168

Reçu: 28 nov. 2018

Accepté: 10 mai 2019

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

Mots clés
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.

New composition of graphs and their Wiener Indices

Publié en ligne: 28 juin 2019

Pages: 163 - 168

Reçu: 28 nov. 2018

Accepté: 10 mai 2019

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

Mots clésWiener 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.

Mots clés
Wiener index, composition of two graphs, total graph, splitting graph, shadowgraph