Journal article Open Access

Steiner µ Distance in Fuzzy Graphs with Application

G.Priscilla Pacifica; J.Jenit Ajitha

Sponsor(s)
Blue Eyes Intelligence Engineering & Sciences Publication(BEIESP)

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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