TRANSIT INDEX OF A GRAPH AND ITS CORRELATION WITH MON OF OCTANE ISOMERS

2020 ◽  
Vol 9 (4) ◽  
pp. 1825-1833
Author(s):  
K. M. Reshmi ◽  
R. Pilakkat
Keyword(s):  
Author(s):  
Amitav Doley ◽  
Jibonjyoti Buragohain ◽  
A. Bharali

The inverse sum indeg (ISI) index of a graph G is defined as the sum of the weights dG(u)dG(v)/dG(u)+dG(v) of all edges uv in G, where dG(u) is the degree of the vertex u in G. This index is found to be a significant predictor of total surface area of octane isomers. In this chapter, the authors present some lower and upper bounds for ISI index of subdivision graphs, t-subdivision graphs, s-sum and st -sum of graphs in terms of some graph parameters such as order, size, maximum degree, minimum degree, and the first Zagreb index. The extremal graphs are also characterized for their sharpness.


Author(s):  
Jibonjyoti Buragohain ◽  
A. Bharali

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.


2007 ◽  
Vol 111 (1) ◽  
pp. 210-218 ◽  
Author(s):  
Carsten Sievers ◽  
Ayumu Onda ◽  
Alexander Guzman ◽  
Kerstin S. Otillinger ◽  
Roberta Olindo ◽  
...  

2012 ◽  
Vol 159 (4) ◽  
pp. 1426-1436 ◽  
Author(s):  
Chunsheng Ji ◽  
S. Mani Sarathy ◽  
Peter S. Veloo ◽  
Charles K. Westbrook ◽  
Fokion N. Egolfopoulos
Keyword(s):  

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