Contribution to Soft Graph and Soft Tree

J. D. Thenge (), B. Surendranath Reddy and Rupali S. Jain ()
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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

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 01, 129-143

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.

Keywords: Soft set; soft graph; vertex degree (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S179300571950008X

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