Upper Bounds of Zagreb Radio Indices

Title

Upper Bounds of Zagreb Radio Indices

Creator

Raj A.T.; Kureethara J.V.

Description

Let G= (V, E) be a simple connected graph with vertex set V and edge set E. This chapter consists of several bounds of the Zagreb radio indices of graphs such as the Primary Zagreb Radio Index, the First Zagreb Radio Index, the Second Zagreb Radio Index and the Third Zagreb Radio Index. The indices are defined for graphs after administering a radio labelling. In radio labelling, vertices are labelled with the positive integers such that the absolute difference of two vertex labels added to their distance should be at least one more than the diameter of the graph. In radio labelling, every vertex gets distinct labels. The least possible labels given to the vertices are used to create the radio indices. 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

Source

Lecture Notes in Networks and Systems, Vol-351, pp. 657-668.

Date

2022-01-01

Publisher

Springer Science and Business Media Deutschland GmbH

Subject

Chemical graph; Radio labelling; Radio number; Topological index

Coverage

Raj A.T., Christ University, Bangalore, 560029, India; Kureethara J.V., Christ University, Bangalore, 560029, India

Rights

Restricted Access

Relation

ISSN: 23673370; ISBN: 978-981167656-7

Format

Online

Language

English

Type

Conference paper

Identifier

https://doi.org/10.1007/978-981-16-7657-4_53

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