Extremal Trees oftheReformulated andtheEntire Zagreb Indices

Title

Extremal Trees oftheReformulated andtheEntire Zagreb Indices

Creator

Asok A.; Kureethara J.V.

Description

The first reformulated Zagreb index of trees can take any even positive integer greater than 8, whereas the second reformulated Zagreb index of trees can take all positive integers greater than 47 with a few exceptional values less than 8 and 47, respectively. The entire Zagreb index is defined in terms of edge degrees and incorporates the idea of intermolecular forces between atoms along with atoms and bonds. This intricate significance of studying the entire Zagreb index led to the generalization of the first entire Zagreb index of trees. The inverse problem on the first entire Zagreb of trees gives the existence of a tree for any even positive integer greater than 46. The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd 2024.

Source

Lecture Notes in Networks and Systems, Vol-844, pp. 389-403.

Date

2024-01-01

Publisher

Springer Science and Business Media Deutschland GmbH

Subject

First entire Zagreb index; Forgotten Zagreb index; Hyper Zagreb index first reformulated Zagreb index; Molecular graph; Second reformulated Zagreb index; Topological index

Coverage

Asok A., Christ University, Karnataka, Bengaluru, India; Kureethara J.V., Christ University, Karnataka, Bengaluru, India

Rights

Restricted Access

Relation

ISSN: 23673370; ISBN: 978-981998478-7

Format

Online

Language

English

Type

Conference paper

Identifier

https://doi.org/10.1007/978-981-99-8479-4_29

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85181982809&doi=10.1007%2f978-981-99-8479-4_29&partnerID=40&md5=686e62c6342849f43653b4359648917c