<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

Publicado en línea: 28 jun 2019

Páginas: 163 - 168

Recibido: 28 nov 2018

Aceptado: 10 may 2019

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

Palabras clave
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

Publicado en línea: 28 jun 2019

Páginas: 163 - 168

Recibido: 28 nov 2018

Aceptado: 10 may 2019

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

Palabras claveWiener 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.

Palabras clave
Wiener index, composition of two graphs, total graph, splitting graph, shadowgraph