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Investigating the Traits of Soft Semigraph-Associated Degrees

Author

Listed:
  • Bobin George

    (Department of Mathematics, Pavanatma College, Murickassery, Kerala 685604, India)

  • Jinta Jose

    (Department of Science and Humanities, Viswajyothi College of Engineering and Technology, Vazhakulam, Muvattupuzha, Kerala 686670, India)

  • Rajesh K. Thumbakara

    (Department of Mathematics, Mar Athanasius College (Autonomous), M P Varghese Road, Kothamangalam College, Kothamangalam, Kerala 686666, India)

Abstract

Soft set theory, introduced by D. Molodtsov, is a mathematical approach that tackles uncertain data. Semigraph is a generalization of the concept of a graph. By incorporating soft sets into semigraphs, a new concept called soft semigraphs has emerged. The study of soft semigraphs has gained significance in graph theory due to their valuable applications in parametrization. This paper explores the properties of various vertex degrees in soft semigraphs, including degrees, end degrees, edge degrees, adjacent degrees, and consecutive adjacent degrees.

Suggested Citation

  • Bobin George & Jinta Jose & Rajesh K. Thumbakara, 2024. "Investigating the Traits of Soft Semigraph-Associated Degrees," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 647-663, November.
    • Handle: RePEc:wsi:nmncxx:v:20:y:2024:i:03:n:s1793005724500352
    DOI: 10.1142/S1793005724500352
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