Homomorphic and restricted homomorphic products of softgraphs
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 f...
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| Format: | Article |
| Language: | English |
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Nigerian Society of Physical Sciences
2025-01-01
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| Series: | Journal of Nigerian Society of Physical Sciences |
| Subjects: | |
| Online Access: | https://journal.nsps.org.ng/index.php/jnsps/article/view/2391 |
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| author | Jinta Jose Rajesh K. Thumbakara J. D. Thenge Mashale Bobin George Sijo P. George |
| author_facet | Jinta Jose Rajesh K. Thumbakara J. D. Thenge Mashale Bobin George Sijo P. George |
| author_sort | Jinta Jose |
| collection | DOAJ |
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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.
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| format | Article |
| id | doaj-art-2f8dde9e2b034a20bdd45ae4723c0b67 |
| institution | Kabale University |
| issn | 2714-2817 2714-4704 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nigerian Society of Physical Sciences |
| record_format | Article |
| series | Journal of Nigerian Society of Physical Sciences |
| spelling | doaj-art-2f8dde9e2b034a20bdd45ae4723c0b672025-01-17T18:52:23ZengNigerian Society of Physical SciencesJournal of Nigerian Society of Physical Sciences2714-28172714-47042025-01-017110.46481/jnsps.2025.2391Homomorphic and restricted homomorphic products of softgraphsJinta Jose0Rajesh K. Thumbakara1J. D. Thenge Mashale2Bobin George3Sijo P. George4Department of Science and Humanities, Viswajyothi College of Engineering and Technology Vazhakulam, IndiaDepartment of Mathematics, Mar Athanasius College (Autonomous) Kothamangalam, IndiaSchool of Computational Sciences, Punyashlok Ahilyadevi Holkar Solapur University, Solapur, IndiaDepartment of Mathematics Pavanatma College Murickassery, IndiaDepartment of Mathematics Pavanatma College Murickassery, India 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. https://journal.nsps.org.ng/index.php/jnsps/article/view/2391Soft SetSoft GraphHomomorphic ProductRestricted homomorphic products |
| spellingShingle | Jinta Jose Rajesh K. Thumbakara J. D. Thenge Mashale Bobin George Sijo P. George Homomorphic and restricted homomorphic products of softgraphs Journal of Nigerian Society of Physical Sciences Soft Set Soft Graph Homomorphic Product Restricted homomorphic products |
| title | Homomorphic and restricted homomorphic products of softgraphs |
| title_full | Homomorphic and restricted homomorphic products of softgraphs |
| title_fullStr | Homomorphic and restricted homomorphic products of softgraphs |
| title_full_unstemmed | Homomorphic and restricted homomorphic products of softgraphs |
| title_short | Homomorphic and restricted homomorphic products of softgraphs |
| title_sort | homomorphic and restricted homomorphic products of softgraphs |
| topic | Soft Set Soft Graph Homomorphic Product Restricted homomorphic products |
| url | https://journal.nsps.org.ng/index.php/jnsps/article/view/2391 |
| work_keys_str_mv | AT jintajose homomorphicandrestrictedhomomorphicproductsofsoftgraphs AT rajeshkthumbakara homomorphicandrestrictedhomomorphicproductsofsoftgraphs AT jdthengemashale homomorphicandrestrictedhomomorphicproductsofsoftgraphs AT bobingeorge homomorphicandrestrictedhomomorphicproductsofsoftgraphs AT sijopgeorge homomorphicandrestrictedhomomorphicproductsofsoftgraphs |