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Usefulness of Combinations of Vertex-Degree Weighted Path Indices and Elements of a Universal Matrix

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Usefulness of combinations of vertex-degree weighted path indices and elements of a Universal matrix

Anton Perdih

Faculty of Chemistry and Chemical Technology, University of Ljubljana (retired) Večna pot 113, 1000 Ljubljana, Slovenia

*Corresponding author: E-mail: a.perdih@gmail.com

Appendix 2

The mutually optimized combinations of vertex degree weighted path indices with particular vertex degree vertex distance weighted elements of the Universal matrix are presented in Figure S1 for P1(a, b), in Figure S2 for P3(a, b, c, d), and in Figure S3 for P4(a, b, c, d, e).

Figure S1. Correelation coefficients of the mutually optimized combinations of vertex degree weighted path one index with vertex degree vertex distance weighted elements of the Universal matrix uij(a,b,c).

0.910 0.920 0.930 0.940 0.950 0.960 0.970 0.980 0.990

0 1 2 3 4 5 6 7

j

R

-P1 2j 3j 4j 5j 6j 7j 8j

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Figure S2. Correelation coefficients of the mutually optimized combinations of vertex degree weighted path three index with vertex degree vertex distance weighted elements of the Universal matrix uij(a,b,c).

0.910 0.920 0.930 0.940 0.950 0.960 0.970 0.980 0.990

0 1 2 3 4 5 6 7

j

R

P3 2j 3j 4j 5j 6j 7j 8j

(3)

Figure S3. Correlation coefficients of the mutually optimized combinations of vertex degree weighted path four index with vertex degree vertex distance weighted elements of the Universal matrix uij(a,b,c).

0.790 0.800 0.810 0.820 0.830 0.840 0.850 0.860 0.870 0.880 0.890 0.900 0.910 0.920 0.930 0.940 0.950 0.960 0.970 0.980 0.990

0 1 2 3 4 5 6 7

j

R

P4 2j 3j 4j 5j 6j 7j 8j

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