Soft Directed Graphs, Some of Their Operations, and Properties

Jinta Jose (), Bobin George () and Rajesh K. Thumbakara ()
Additional contact information
Jinta Jose: Department of Science and Humanities, Viswajyothi College of Engineering and Technology, Vazhakulam, Ernakulam 686670, Kerala, India
Bobin George: Department of Mathematics, Pavanatma College, Murickassery, Idukki 685604, India
Rajesh K. Thumbakara: Department of Mathematics, Mar Athanasius College (Autonomous), Kothamangalam, Ernakulam 686666, India

New Mathematics and Natural Computation (NMNC), 2024, vol. 20, issue 01, 129-155

Abstract: The soft set theory proposed by D. Molodtsov in 1999 is a general mathematical method for dealing with uncertain data. Now many researchers are applying soft set theory in decision making problems. Graph theory is the mathematical study of objects and their pairwise relationships, known as vertices and edges, respectively. The concept of soft graphs is used to provide a parameterized point of view for graphs. Directed graphs can be used to analyze and resolve problems with electrical circuits, project timelines, shortest routes, social links and many other issues. We introduced the notion of the soft directed graph by applying the concepts of soft set in a directed graph. In this paper, we introduce the concept of soft subdigraph and some soft directed graph operations like AND operation, OR operation, soft union, extended union, extended intersection, restricted union and restricted intersection and investigate some of their properties.

Keywords: Soft set; soft directed graph; soft subdigraph (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005724500091
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:20:y:2024:i:01:n:s1793005724500091

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005724500091

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().