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Contribution to Soft Graph and Soft Tree

Author

Listed:
  • J. D. Thenge

    (Department of Mathematics, Solapur University, Solapur, India)

  • B. Surendranath Reddy

    (School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, India)

  • Rupali S. Jain

    (School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, India)

Abstract

Soft set theory introduced by D. Molodstov is a new theory which deals with uncertainty. Connected graphs can be represented by using soft sets called soft graphs. In the present paper, we introduce the tabular representation of soft graph and define radius, diameter, center and degree of soft graph. We also define union, product of soft graphs and soft trees. We then derive some properties of radius, degree of vertex in soft graph and soft trees.

Suggested Citation

  • J. D. Thenge & B. Surendranath Reddy & Rupali S. Jain, 2019. "Contribution to Soft Graph and Soft Tree," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 129-143, March.
    • Handle: RePEc:wsi:nmncxx:v:15:y:2019:i:01:n:s179300571950008x
    DOI: 10.1142/S179300571950008X
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