

A121223


Number of degeneracies on the sets of ordinary trees with n vertices according to a topological index.


5



2, 2, 2, 11, 25, 98, 214, 747, 1947, 6399, 16846, 55131, 150720, 462160, 1302117
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OFFSET

7,1


COMMENTS

Konstantinova and Vidyuk compare various topological indices for their power to discriminate a large set of hexagonal, square and triangular lattice animals.
This here is an overview for the H_lambda^p index (a particular logarithmic weight over the layer matrix) for a test set of 11 ordinary trees (with n=7 vertices), 23 ordinary trees (with n= 8 vertices) etc. A "good" index is indicated by resulting in low degeneracies.


REFERENCES

Elena V. Konstantinova and Maxim V. Vidyuk, "Discriminating tests of information and topological indices. Animals and trees", J. Chem. Inf. Comput. Sci. 43 (2003), 18601871. See Table 15, column H_lambda^p.


LINKS



EXAMPLE

For the test set of 7741 trees with n=15 vertices, the H_lambda^p index ended up in 1947 degeneracies.


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



