Modified Eccentric Connectivity of Generalized Thorn Graphs
2014 ◽
Vol 2014
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pp. 1-8
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Keyword(s):
The thorn graph GT of a given graph G is obtained by attaching t(>0) pendent vertices to each vertex of G. The pendent edges, called thorns of GT, can be treated as P2 or K2, so that a thorn graph is generalized by replacing P2 by Pm and K2 by Kp and the respective generalizations are denoted by GPm and GKp. The modified eccentric connectivity index of a graph is defined as the sum of the products of eccentricity with the total degree of neighboring vertices, over all vertices of the graph in a hydrogen suppressed molecular structure. In this paper, we give the modified eccentric connectivity index and the concerned polynomial for the thorn graph GT and the generalized thorn graphs GKp and GPm.
2018 ◽
Vol 74
(1-2)
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pp. 25-33
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2016 ◽
Vol 13
(10)
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pp. 6694-6697
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2014 ◽
Vol 38
(2)
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pp. 165-168
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2014 ◽
Vol 171
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pp. 35-41
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2012 ◽
Vol 160
(3)
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pp. 248-258
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