A New Tool for QSPR Researches: ev-degree Randić Index
Topological indices have important role in theoretical chemistry
for QSPR researches. Among the all topological indices the Randić index has
been used more considerably than any other topological indices in chemical and
mathematical literature. Most of the topological indices as in the Randić index
are based on the degrees of the vertices of a connected graph. Recently novel
two degree concepts have been defined in graph theory; ev-degrees and ve-degrees.
In this study ev-degree Randić index is defined by using ev-degree concept as
parallel to their corresponding classical degree version. This new ev-degree
Randić index is compared with the Randić index by modelling some
physicochemical properties of octane isomers. It is showed that the ev-degree
Randić index give better correlation than the Randić index to predict the
entropy, acentric factor and standard
enthalpy of vaporization of octanes. Also
the exact values of the ev-degree Randić index for the well-known graph classes
such as; paths, cycles, stars and complete graphs are given.
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- 5. Chellali, M.; Haynes, T.W.; Hedetniemi, S.T.; Lewis T.M. On ve-degrees and ev-degrees in graphs, .Discrete Mathematics. 2017; 340, 31-38.
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- 7. Kincaid, R.K.; Kunkler, S.J.; Lamar, M.D.; Phillips, D.J. Algo-rithms and complexity results for findings graphs with extremal Randić index. Networks. 2016; 67, 338-347.
- 8. Banerjee, A.; Mehatari, R. An eigenvalue localization theorem for stochastic matrices and its application to Randić matrices. Linear Algebra Applications 2016; 505, 85-96.
- 9. Gu, R.; Huang, F.; Li, X. Skew Randić matrix and skew Randić energy. Transaction on Combinatorics 2016; 5,1-14.
- ISSN: 1305-130X
- Başlangıç: 2005
- Yayıncı: Manisa Celal Bayar Üniversitesi Fen Bilimleri Enstitüsü
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