A Novel Weighted First Zagreb Index of Graph
Keyword(s):
The Zagreb indices are the oldest among all degree-based topological indices. For a connected graph G, the first Zagreb index M1(G) is the sum of the term dG(u)+dG(v) corresponding to each edge uv in G, that is, M1 , where dG(u) is degree of the vertex u in G. In this chapter, the authors propose a weighted first Zagreb index and calculate its values for some standard graphs. Also, the authors study its correlations with various physico-chemical properties of octane isomers. It is found that this novel index has strong correlation with acentric factor and entropy of octane isomers as compared to other existing topological indices.
2014 ◽
Vol 31
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pp. 56-62
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2016 ◽
Vol 4
(2)
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pp. 47
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2017 ◽
Vol 09
(05)
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pp. 1750066
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