Connectedness in Soft Semigraphs

Bobin George, Jinta Jose () and Rajesh K. Thumbakara ()
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Bobin George: Department of Mathematics, Pavanatma College, Murickassery, India
Jinta Jose: Department of Science and Humanities, Viswajyothi College of Engineering and Technology, Vazhakulam, India
Rajesh K. Thumbakara: Department of Mathematics, Mar Athanasius College (Autonomous), Kothamangalam, India

New Mathematics and Natural Computation (NMNC), 2024, vol. 20, issue 01, 157-182

Abstract: Soft set theory is a general mathematical method for dealing with uncertain data. It is a classification of elements of the universe with respect to some given set of parameters. Semigraph is a generalization of graph which is different from hypergraph. Soft semigraph was introduced by applying the concept of soft set in semigraph. Connectedness is one of the basic concepts of graph theory. In this paper, we introduce the concepts of s-walk, s-trail, s-path and s-cycle in soft semigraphs and we define an s-connected soft semigraph. We explain the procedures of vertex and fp-edge deletions from a soft semigraph. Also, we introduce p-part cut vertex, s-cut vertex, p-part bridge and s-bridge of a soft semigraph and investigate some of their properties.

Keywords: Semigraph; soft semigraph (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S1793005724500108

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