Homomorphic and restricted homomorphic products of soft graphs

Authors

  • Jinta Jose
    Department of Science and Humanities, Viswajyothi College of Engineering and Technology Vazhakulam, India
  • Rajesh K. Thumbakara
    Department of Mathematics, Mar Athanasius College (Autonomous) Kothamangalam, India
  • J. D. Thenge Mashale
    School of Computational Sciences, Punyashlok Ahilyadevi Holkar Solapur University, Solapur, India
  • Bobin George
    Department of Mathematics Pavanatma College Murickassery, India
  • Sijo P. George
    Department of Mathematics Pavanatma College Murickassery, India

Keywords:

Soft Set, Soft Graph, Homomorphic Product, Restricted homomorphic products

Abstract

Molodtsov pioneered the notion of soft set theory, presenting it as a mathematical tool for dealing with uncertainty. Numerous researchers have subsequently developed models leveraging this theory to tackle challenges in decision-making and medical diagnosis. Soft set theory emerges as a flexible framework adept at handling uncertain and imprecise information, a domain where classical set theory often struggles. Expanding on the soft set concept, researchers have introduced the idea of a soft graph. This innovative concept allows for the creation of diverse representations of graph-based relations by incorporating parameterisation. In this work, we present and investigate some of the features of the homomorphic and restricted homomorphic products of soft graphs. This paper establishes the structural properties of these products, ensuring that they are well-defined and maintain the essential characteristics of soft graphs. Additionally, we derive combinatorial identities related to the counts of vertices and edges, as well as the degree sums, offering deeper insights into the composition and behaviour of these graph products.

Dimensions

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Published

2025-02-01

How to Cite

Homomorphic and restricted homomorphic products of soft graphs. (2025). Journal of the Nigerian Society of Physical Sciences, 7(1), 2391. https://doi.org/10.46481/jnsps.2025.2391

Issue

Volume 7, Issue 1, February 2025

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2024 Jinta Jose, Rajesh K. Thumbakara, J. D. Thenge Mashale, Bobin George, Sijo P. George

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Homomorphic and restricted homomorphic products of soft graphs. (2025). Journal of the Nigerian Society of Physical Sciences, 7(1), 2391. https://doi.org/10.46481/jnsps.2025.2391

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