Eccentricity version F-index of some graph operations

Mohammed, Mohanad Ali; Mushatet, Hasan H; De, Nilanjan

doi:10.22034/ecc.2020.251952.1084

Document Type : Original Research Article

Authors

¹ Department of Mathematics, Open Educational College, Ministry of Education, Al-Qadisiya Centre, Iraq

² Ministry of Education, Dhi Qar Education Directorate, Iraq

³ Department of Basic Science and Humanities (Mathematics), Calcutta Institute of Engineering; Department of Management, West Bengal 700040, India

https://doi.org/10.22034/ecc.2020.251952.1084

Abstract

The eccentricity version F-index of a graph G is defined as the summation of cube of all the vertex eccentricities of G. In this report, the eccentricity version of F-index of the generalized hierarchical product of graphs was computed. Further, we obtained some explicit expressions of eccentricity version of F-index for S-sum graphs, Cartesian product graphs and cluster product graphs. Hence applying those outcomes, we arrived at the eccentricity version of F-index for Chemical graphs and nanostructures.

Graphical Abstract

Keywords

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Eurasian Chemical Communications

Eccentricity version F-index of some graph operations

References

References

Volume 2, Issue 10
October 2020
Pages 1059-1063

Eccentricity version F-index of some graph operations

References

References

Volume 2, Issue 10October 2020Pages 1059-1063

Volume 2, Issue 10
October 2020
Pages 1059-1063