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A121223 Number of degeneracies on the sets of ordinary trees with n vertices according to a topological index. 5

%I

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

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

%C Konstantinova and Vidyuk compare various topological indices for their power to discriminate a large set of hexagonal, square and triangular lattice animals.

%C 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.

%D 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.

%H Elena V. Konstantinova and Maxim V. Vidyuk, <a href="http://dx.doi.org/10.1021/ci025659y">Discriminating tests of information and topological indices. Animals and trees</a>, J. Chem. Inf. Comput. Sci. 43 (2003), 1860-1871, table 15, column 8.

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

%K nonn

%O 7,1

%A _Parthasarathy Nambi_, Aug 20 2006

%E Edited by _R. J. Mathar_, Mar 02 2009

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Last modified September 28 03:06 EDT 2020. Contains 337392 sequences. (Running on oeis4.)