Edge-Neighbor-Rupture Degree of Graphs

The edge-neighbor-rupture degree of a connected graph is defined to be , where is any edge-cut-strategy of , is the number of the components of , and is the maximum order of the components of . In this paper, the edge-neighbor-rupture degree of some graphs is obtained and the relations between e...

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Bibliographic Details
Main Author: Ersin Aslan
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/783610
Description
Summary:The edge-neighbor-rupture degree of a connected graph is defined to be , where is any edge-cut-strategy of , is the number of the components of , and is the maximum order of the components of . In this paper, the edge-neighbor-rupture degree of some graphs is obtained and the relations between edge-neighbor-rupture degree and other parameters are determined.
ISSN:1110-757X
1687-0042