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Journal of Interdisciplinary Mathematics cover

Journal of Interdisciplinary Mathematics

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502
CiteScore 2025: 1.9 (Q2)

CiteScore 2025: 1.9 (Q2)

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Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Journal of Interdisciplinary Mathematics
Open Access Research Article

Co-intersection graph of subsemimodules of a semimodule

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pp. 2377–2384Vol. 28Issue 7October 2025DOI: 10.47974/JIM-1500XML
Received:
06 Apr 2022
Accepted:
08 Mar 2022
Published Online:
17 Oct 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1500
Pages:
2377–2384

Abstract

Assume that U is a left R-semimodule, R is an abelian semiring with nonzero identity. The co-intersection graphs of U, indicated by G(U), an undirected graph whose nods set is the collection of all non-trivial subsemimodules of U with two distinct nods X, Y are adjacent if and only if X + Y ≠ U. These graphs was studies to relate the combinatorial possessions of G(U) to the algebraic possessions of the R-semimodule U. Connectedness and planarity were for G(U). Also, studies are done on the girth, diameter, clique and chromatic number of this graphs.

Keywords

SemimoduleCo-intersection graphConnectivityPlanarityClique number

Subject Classifications

16Y6005C7505C69

Acknowledgements

Obaid (32_icmas_322)

References

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