Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2019 -> Volume 11, Issue 2
Geodesic Iteration Number of g-contour of a Fuzzy Graph
Oleh : Sameeha Rehmani & M. S. Sunitha, Fuzzy Information and Engineering
Dibuat : 2021-08-26, dengan 0 file
Keyword : g-eccentricity, g-contour node, extreme node, geodesic iteration number
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2021.1886819
Sumber pengambilan dokumen : Web
Purpose: In this paper, we intent to introduce the concept of g-contour nodes in fuzzy graphs and demonstrate an application of g-contour nodes in Land line telecommunication Network.
Design/approach: The concept of g-contour nodes in Fuzzy graphs is explained and is supported by several examples. The geodesic iteration number of g-contour nodes in fuzzy graphs is obtained. An application of geodesic iteration number of g-contour nodes for determining the central persons in the land-line telecommunication network (LTN) is demonstrated, by means of which churning in the land-line telecommunication system can be reduced by providing a step-wise method for canvassing each and every customer in the network.
Findings: It is proved that every extreme node of G is a g-contour node of G but not conversely. The g-contour of g-self-centred fuzzy graphs and of fuzzy trees is found to be a geodesic cover. The geodesic iteration number of the g-contour of a fuzzy graph is obtained. The geodesic iteration number of complete fuzzy graphs and of fuzzy trees is proved to coincide with the geodesic iteration number of their g-contours.
Purpose: In this paper, we intent to introduce the concept of g-contour nodes in fuzzy graphs and demonstrate an application of g-contour nodes in Land line telecommunication Network.
Design/approach: The concept of g-contour nodes in Fuzzy graphs is explained and is supported by several examples. The geodesic iteration number of g-contour nodes in fuzzy graphs is obtained. An application of geodesic iteration number of g-contour nodes for determining the central persons in the land-line telecommunication network (LTN) is demonstrated, by means of which churning in the land-line telecommunication system can be reduced by providing a step-wise method for canvassing each and every customer in the network.
Findings: It is proved that every extreme node of G is a g-contour node of G but not conversely. The g-contour of g-self-centred fuzzy graphs and of fuzzy trees is found to be a geodesic cover. The geodesic iteration number of the g-contour of a fuzzy graph is obtained. The geodesic iteration number of complete fuzzy graphs and of fuzzy trees is proved to coincide with the geodesic iteration number of their g-contours.
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