The Modified Schultz Index of Some Graphs

2010 ◽  
Author(s):  
Javad Yazdani
Keyword(s):  
Schultz Index

scholarly journals The expected values for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random cyclooctatetraene chain

2021 ◽  
Author(s):  
Xianya Geng ◽  
Jinfeng Qi ◽  
Minjie Zhang
Keyword(s):  
Kirchhoff Index ◽  
Schultz Index ◽  
Expected Values ◽  
Gutman Index ◽  
Analytical Expressions

In this paper, we mainly solve the explicit analytical expressions for the expected values of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random cyclooctatetraene chain with $n$ octagons. We also obtain the average values of these four indices with respect to the set of all these cyclooctatetraene chains.

The Modified Schultz Index of Armchair Polyhex Nanotubes

2009 ◽  
Vol 6 (5) ◽  
pp. 1109-1114 ◽  
Author(s):  
Zhengming Xiao ◽  
Shubo Chen
Keyword(s):  
Schultz Index

scholarly journals The Schultz Index and Schultz Polynomial of the Jahangir Graphs <i> J </i><sub>5, <i> m </i></sub>

2015 ◽  
Vol 06 (14) ◽  
pp. 2319-2325 ◽  
Author(s):  
Mohammad Reza Farahani ◽  
Wei Gao
Keyword(s):  
Schultz Index

The Modified Schultz Index of C4C8 Nanotubes

2009 ◽  
Vol 6 (7) ◽  
pp. 1504-1510
Author(s):  
Shubo Chen ◽  
Fangli Xia
Keyword(s):  
Schultz Index

Some topological indices in fuzzy graphs

2020 ◽  
Vol 39 (5) ◽  
pp. 6033-6046
Author(s):  
Shriram Kalathian ◽  
Sujatha Ramalingam ◽  
Sundareswaran Raman ◽  
Narasimman Srinivasan
Keyword(s):  
Graph Theory ◽  
Classical Model ◽  
Distance Matrix ◽  
Wiener Index ◽  
Topological Indices ◽  
Fuzzy Graph ◽  
Structural Graph ◽  
Chemical Graph Theory ◽  
Fuzzy Graphs ◽  
Schultz Index

A fuzzy graph is one of the versatile application tools in the field of mathematics, which allows the user to easily describe the fuzzy relation between any objects. The nature of fuzziness is favorable for any environment, which supports to predict the problem and solving it. Fuzzy graphs are beneficial to give more precision and flexibility to the system as compared to the classical model (i.e.,) crisp theory. A topological index is a numerical quantity for the structural graph of the molecule and it can be represented through Graph theory. Moreover, its application not only in the field of chemistry can also be applied in areas including computer science, networking, etc. A lot of topological indices are available in chemical-graph theory and H. Wiener proposed the first index to estimate the boiling point of alkanes called ‘Wiener index’. Many topological indices exist only in the crisp but it’s new to the fuzzy graph environment. The main aim of this paper is to define the topological indices in fuzzy graphs. Here, indices defined in fuzzy graphs are Modified Wiener index, Hyper Wiener index, Schultz index, Gutman index, Zagreb indices, Harmonic index, and Randić index with illustrations. Bounds for some of the indices are proved. The algorithms for distance matrix and MWI are shown. Finally, the application of these indices is discussed.

scholarly journals Schultz Index of Armchair Polyhex Nanotubes

2008 ◽  
Vol 9 (10) ◽  
pp. 2016-2026 ◽  
Author(s):  
Mehdi Eliasi ◽  
Nafiseh Salehi
Keyword(s):  
Schultz Index

scholarly journals Correlation of X-Ray Absorption Parameters with Schultz index

2012 ◽  
Vol 365 ◽  
pp. 012011 ◽  
Author(s):  
Pravin A Kekre ◽  
Sunil Khatri ◽  
A Mishra ◽  
K P Joshi
Keyword(s):  
X Ray ◽  
Schultz Index ◽  
X Ray Absorption

The expected values for the Schultz index, Gutman index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain

2020 ◽  
Vol 282 ◽  
pp. 243-256 ◽  
Author(s):  
Leilei Zhang ◽  
Qishun Li ◽  
Shuchao Li ◽  
Minjie Zhang
Keyword(s):  
Kirchhoff Index ◽  
Schultz Index ◽  
Expected Values ◽  
Gutman Index

Modified Schultz Index of Zig-Zag Polyhex Nanotubes

2009 ◽  
Vol 6 (7) ◽  
pp. 1499-1503 ◽  
Author(s):  
Shubo Chen
Keyword(s):  
Schultz Index
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