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Soft Semigraphs and Some of Their Operations

Author

Listed:
  • Bobin George

    (Department of Mathematics, Pavanatma College, Murickassery, India)

  • Rajesh K. Thumbakara

    (Department of Mathematics, Mar Athanasius College (Autonomous), Kothamangalam, India)

  • Jinta Jose

    (Department of Science and Humanities, Viswajyothi College of Engineering and Technology, Vazhakulam, India)

Abstract

Semigraph is a generalization of graph introduced by E. Sampathkumar which is different from hypergraph. In 1999, D. Molodtsov initiated the novel concept of soft set theory. This is an approach for modeling vagueness and uncertainty. It is a classification of elements of the universe with respect to some given set of parameters. The concept of soft graph introduced by Rajesh K. Thumbakara and Bobin George is used to provide a parameterized point of view for graphs. Theory of soft graphs is a fast developing area in graph theory due to its capability to deal with the parameterization tool. In this paper, we introduce the concepts of soft semigraph by applying the concept of soft set in semigraph. Also we introduce some operations on soft semigraphs and investigate some of their properties.

Suggested Citation

  • Bobin George & Rajesh K. Thumbakara & Jinta Jose, 2023. "Soft Semigraphs and Some of Their Operations," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 369-385, July.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:02:n:s1793005723500126
    DOI: 10.1142/S1793005723500126
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