Eccentric Graph of Join of Graphs

Title

Eccentric Graph of Join of Graphs

Creator

Raja M.R.; Agnes M.T.; Naduvath S.

Description

The eccentric graph Ge corresponding to a graph G is a derived graph with the same vertex set of G and two vertices in Ge are neighbours if one of them is the eccentric vertex of the other. Motivated by the studies on derived graphs and graph operations, in this article, the eccentric graph of the join of two graphs is analysed based on the variations in the radius. The notion of eccentric join of two graphs with at least one of them having radius 1, is introduced. The eccentric graph of eccentric join of graphs is also examined. Finally, the concept of r-eccentric join of graphs is also introduced. This study is analytical in nature, which involves deductive and logical reasoning. 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

Source

Lecture Notes in Networks and Systems, Vol-290, pp. 366-373.

Date

2021-01-01

Publisher

Springer Science and Business Media Deutschland GmbH

Subject

Eccentric graphs; Eccentric join; Eccentricity

Coverage

Raja M.R., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, 560029, India; Agnes M.T., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, 560029, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, 560029, India

Rights

Restricted Access

Relation

ISSN: 23673370; ISBN: 978-981164485-6

Format

Online

Language

English

Type

Conference paper

Identifier

https://doi.org/10.1007/978-981-16-4486-3_41

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