Computing First Zagreb index and F-index of New C-products of Graphs

Basavanagoud B.; Gao Wei; Patil Shreekant; Desai Veena R.; Mirajkar Keerthi G.; Pooja B

doi:10.21042/AMNS.2017.1.00024

Applied Mathematics and Nonlinear Sciences (Jun 2017)

Computing First Zagreb index and F-index of New C-products of Graphs

Basavanagoud B.,
Gao Wei,
Patil Shreekant,
Desai Veena R.,
Mirajkar Keerthi G.,
Pooja B

Affiliations

Basavanagoud B.: Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India
Gao Wei: Yunnan Normal University, Kunming, 650500, China
Patil Shreekant: Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India
Desai Veena R.: Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India
Mirajkar Keerthi G.: Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India
Pooja B: Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India

DOI: https://doi.org/10.21042/AMNS.2017.1.00024
Journal volume & issue: Vol. 2, no. 1
pp. 285 – 298

Abstract

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For a (molecular) graph, the first Zagreb index is equal to the sum of squares of the degrees of vertices, and the F-index is equal to the sum of cubes of the degrees of vertices. In this paper, we introduce sixty four new operations on graphs and study the first Zagreb index and F-index of the resulting graphs.

Published in Applied Mathematics and Nonlinear Sciences

ISSN: 2444-8656 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AMNS

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