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Soft Directed Graphs, Their Vertex Degrees, Associated Matrices and Some Product Operations

Author

Listed:
  • Jinta Jose

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

  • Bobin George

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

  • Rajesh K. Thumbakara

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

Abstract

D. Molodtsov proposed soft set theory in 1999 as a general mathematical framework for dealing with uncertain data. Many academics are now applying soft set theory in decision-making problems. In graph theory, a directed graph is a graph made up of vertices connected by directed edges, also known as arcs. Electrical circuits, shortest routes, social links and a variety of other problems can all be analyzed and solved using directed graphs. In this paper, we introduce soft directed graphs by applying the concept of soft set to directed graphs. Soft directed graphs provide a parameterized point of view for directed graphs. We define and investigate the degrees and matrices associated with a soft directed graph. We also introduce several product operations in soft directed graphs and analyze some of their features.

Suggested Citation

  • Jinta Jose & Bobin George & Rajesh K. Thumbakara, 2023. "Soft Directed Graphs, Their Vertex Degrees, Associated Matrices and Some Product Operations," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 651-686, November.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:03:n:s179300572350028x
    DOI: 10.1142/S179300572350028X
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