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Investigating the Traits of Soft Semigraph-Associated Degrees

Bobin George (), Jinta Jose and Rajesh K. Thumbakara ()
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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

New Mathematics and Natural Computation (NMNC), 2024, vol. 20, issue 03, 647-663

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.

Keywords: Soft set; semigraph; soft semigraph (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S1793005724500352

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