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Published April 30, 2020 | Version v1
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Steiner µ Distance in Fuzzy Graphs with Application

  • 1. Department of Mathematics, St.Mary's College(Autonomous), Thoothukudi, Tamilnadu, South India.
  • 2. Department of Mathematics, St.Mary's College(Autonomous), Thoothukudi affiliated under Manonmaniam Sundaranar University, Tirunelveli, South India.
  • 1. Publisher

Description

In this article we define Steiner and upper Steiner distances in connected fuzzy graphs by combining the notion of Steiner distance with distance and proved that both are metric. Also based on length, eccentricity, radius, diameter, diametric vertex, eccentric vertex, centre, convexity, self-centred graphs are introduced for both Steiner and upper Steiner distances . Some common characteristic properties are analysed and relation between Steiner and upper Steiner distances are discussed with an application. A model result is given for transport network.2010 AMS Classification: 05C72, 05C12

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Journal article: 2249-8958 (ISSN)

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ISSN
2249-8958
Retrieval Number
D9010049420/2020©BEIESP