Advances and Applications in Discrete Mathematics
Volume 19, Issue 2, Pages 71 - 81
(April 2018) http://dx.doi.org/10.17654/AADMApr2018_071_081 |
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REDUCED SECOND ZAGREB INDEX OF UNICYCLIC GRAPHS
Mehmet Åžerif Aldemir
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Abstract: Recently a novel degree based topological index, reduced second Zagrebindex, defined for any connected graph as follows:
where and are the number of edges incident to the vertices u andv,respectively.We determine the minimum and maximum reduced second Zagreb index in the class of n-vertex unicyclic graphs and characterize the corresponding extremal graphs. |
Keywords and phrases: reduced second Zagreb index, unicyclic graphs, Zagreb indices. |
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