ENTROPY AND ENERGY OF SUBSTRUCTURES OBTAINED BY VERTEX CUTTING IN REGULAR TREES
Lorentz Jäntschi · 2008
The entropy (a quantitative measure of disorder in a system) and informational energy (informational „disorder”) of substructures obtained by cutting the vertex in regular trees was investigated and is presented. In a regular tree every vertex has the same number of children and leafs had no children at all. The information energy was defined as Energy = ∑pi 2 , where pi = the probability of apparition of a substructure of dimensions i. The entropy was defined as Entropy = pi·log2·pi, where pi has the signification described above. Regarding the entropy the following remarks can be done: (a) the entropy decrease with ramification; (b) the entropy increase with increasing of the number of levels; and (c) the decreasing with ramification is more accentuate compared with the increasing of the number of levels. Regarding the information energy a decrease with the decrease of ramification and with the increase of number of levels was observed.