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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
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), 1860-1871. See Table 15, column H_lambda^p.
LINKS
Elena V. Konstantinova and Maxim V. Vidyuk, Discriminating tests of information and topological indices. Animals and trees, J. Chem. Inf. Comput. Sci. 43 (2003), 1860-1871, table 15, column 8.
EXAMPLE
For the test set of 7741 trees with n=15 vertices, the H_lambda^p index ended up in 1947 degeneracies.
CROSSREFS
Sequence in context: A289898 A068971 A019233 * A327559 A139518 A335986
KEYWORD
nonn
AUTHOR
Parthasarathy Nambi, Aug 20 2006
EXTENSIONS
Edited by R. J. Mathar, Mar 02 2009
STATUS
approved