Modelling Networks withAttached Storage Using Perfect Italian Domination

Title

Modelling Networks withAttached Storage Using Perfect Italian Domination

Creator

Poovathingal A.; Kureethara J.V.

Description

Network-attached storage (NAS) is how data is stored and shared among hosts through a configured network. This is cheaper yet the best solution for sharing and using any huge unstructured data in an organization. Optimal distribution of NAS in a network of servers can be done using the concept of Perfect Italian Domination (PID). PID is a vertex labelling where the vertices of a graph G are labelled by 0, 1, 2 such that a vertex with label 0 should have a neighbourhood where the summation of the labels is exactly 2. The minimum possible sum of the labels obtained for graph G is its PID number. A network in an organization can have any structure. It can be highly interconnected, like a graph obtained from the Join of two graphs or the Corona product of two graphs. Hence, this paper discusses the PID of different graphs generated by the Join and the Corona products. The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.

Source

Lecture Notes in Networks and Systems, Vol-832, pp. 23-33.

Date

2024-01-01

Publisher

Springer Science and Business Media Deutschland GmbH

Subject

Corona product of graphs; Domination number; Join of graphs; Perfect Italian domination

Coverage

Poovathingal A., Department of Mathematics, Christ University, Bangalore, India; Kureethara J.V., Department of Mathematics, Christ University, Bangalore, India

Rights

Restricted Access

Relation

ISSN: 23673370; ISBN: 978-981998128-1

Format

Online

Language

English

Type

Conference paper

Identifier

https://doi.org/10.1007/978-981-99-8129-8_3

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