Open AccessSteiner μ Distance in Fuzzy Graphs with Application
Author(s) -
G.Priscilla Pacifica,
J.Jenit Ajitha
Publication year - 2020
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.d9010.049420
Subject(s) - steiner tree problem , combinatorics , mathematics , vertex (graph theory) , convexity , steiner system , metric (unit) , discrete mathematics , graph , operations management , financial economics , economics
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