Information-theoretical indices

Information-Theoretical Indices Information theory has been employed to define topological indices based on the Shannon equation [17] ... 

There are a vast number of possible recipes to derive information-theoretical indices. In-depth discussions of selected information-theoretical indices, also referred to as information content indices (ICI), appear elsewhere [17-19]. 

Danail Bonchev, Information Theoretic Indices for Characterization of Chemical Structures, Research Studies Press, Letchworth, UK, 1975. 

Fig. 21 A grid resulting when the Randic -Wilkins partial ordering conditions is adopted for the isomers of octanes The values next to the vertices are mean information-theoretic indices, I, on the permutation electronic integrals of the equivalent polyhexes Starred positions indicate cases where the molecular graph of a given octane is not a caterpillar and hence for which a polyhex is not defined The template leads to excellent partial ordering where J values always increase from left to right-...

Basak, S.C. (2000). Information Theoretic Indices of Neighborhood Complexity and Their Applications. In Topological Indices and Related Descriptors in QSAR and QSPR (Devillers, J. and Balaban, A.T., eds.), Gordon Breach, Amsterdam (The Netherlands), pp. 563-593. 

Bonchev. D. Information Theoretic Indices for Chanicteri/.utton of Chemical Structures. New York. Research. Studies Press (Wtlcy). 1983. 

Basak, S.C. (1999) Information theoretic indices of neighborhood complexity and their applications, in... 

Basak s information theoretical indices are another class of topological indices that also account for the elements [14,15]. To calculate these, all atoms have to... 

S. Basak. Information theoretic indices of neighborhood complexity and their applications. In J. Devillers and A. Balaban, editors. Topological Indices and Related Descripors in QSAR and QSPR, chapter 12. Gordon and Breach, Amsterdam, 1999. 

The vertex-edge incidence matrix found some use in chanistry e.g., Balandin in 1940 employed this matrix, called the property matrix, in his study of the physical and chemical properties of molecnles (Balandin, 1940), though this work seems to have been largely overlooked (Randic and Trinajstid, 1994). More recently, a few information-theoretic indices have been based on this matrix (Bonchev and Trinajstid, 1977 Bonchev, 1983 Magnnson et al., 1983 Todeschini and Consonni, 2000, 2009). 

D. Bonchev, Information theoretic indices for characterization of chemical structures, Wiley, Chichester, 1983. 

Information-theoretic indices, including the Shannon index, the chromatic information index, the orbital information index, the topological information superindex, the electropy index, and the Merrifield and Sinmions indices [13,14]. 

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