Information Theoretic Complexity Measures

[1]  D. H. Rouvray.  Concepts in Chemistry: A Contemporary Challenge , 1996 .

[2]  M. Volkenstein,et al.  Physical Approaches to Biological Evolution , 1994 .

[3]  N. Rashevsky.  Life, information theory, and topology , 1955 .

[4]  E. Trucco.  A note on the information content of graphs , 1956 .

[5]  Danail Bonchev,et al.  The Overall Wiener Index-A New Tool for Characterization of Molecular Topology , 2001, J. Chem. Inf. Comput. Sci..

[6]  T. D. Schneider,et al.  Evolution of biological information. , 2000, Nucleic acids research.

[7]  L. Lovász,et al.  On the eigenvalues of trees , 1973 .

[8]  Jianhua Lin,et al.  Divergence measures based on the Shannon entropy , 1991, IEEE Trans. Inf. Theory.

[9]  E. Trucco,et al.  On the information content of graphs: Compound symbols; Different states for each point , 1956 .

[10]  M. Newman,et al.  Random graphs with arbitrary degree distributions and their applications. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  H. P. Yockey,et al.  Information Theory And Molecular Biology , 1992 .

[12]  J. W. Kennedy,et al.  The graph-like state of matter. Part 2.—LCGI schemes for the thermodynamics of alkanes and the theory of inductive inference , 1973 .

[13]  Danail Bonchev,et al.  Predicting the properties of the 113-120 transactinide elements , 1981 .

[14]  Danail Bonchev,et al.  Informationsgehalt chemischer Elemente , 1977 .

[15]  Christoph Adami,et al.  Information theory in molecular biology , 2004, q-bio/0405004.

[16]  Steven H. Bertz,et al.  The first general index of molecular complexity , 1981 .

[17]  Danail Bonchev,et al.  Topological order in molecules 1. Molecular branching revisited , 1995 .

[18]  Danail Bonchev,et al.  Complexity Analysis of Yeast Proteome Network , 2004, Chemistry & biodiversity.

[19]  Jonathan L. Gross,et al.  Handbook of graph theory , 2007, Discrete mathematics and its applications.

[20]  Nenad Trinajstić,et al.  On the Zagreb Indices as Complexity Indices , 2000 .

[21]  D. Bonchev,et al.  Complexity in chemistry, biology, and ecology , 2005 .

[22]  Steven H. Bertz,et al.  Rigorous mathematical approaches to strategic bonds and synthetic analysis based on conceptually simple new complexity indices , 1997 .

[23]  Danail Bonchev,et al.  Novel Indices for the Topological Complexity of Molecules , 1997 .

[24]  Nenad Trinajstić,et al.  Algebraic characterization of bridged polycyclic compounds , 1981 .

[25]  Simon B. Ross-Murphy,et al.  The graph-like state of matter—VI: Combinatorial approach to the excluded-volume perturbation☆ , 1976 .

[26]  N. Trinajstic,et al.  Information theory, distance matrix, and molecular branching , 1977 .

[27]  M. Randic.  Characterization of molecular branching , 1975 .

[28]  Danail Bonchev,et al.  Quantitative Measures of Network Complexity , 2005 .

[29]  Stéphane Grumbach,et al.  A New Challenge for Compression Algorithms: Genetic Sequences , 1994, Inf. Process. Manag..

[30]  R. Albert,et al.  The large-scale organization of metabolic networks , 2000, Nature.

[31]  D. Cvetkovic,et al.  Graph theory and molecular orbitals , 1974 .

[32]  Danail Bonchev,et al.  From Molecular to Biological Structure and Back , 2007, J. Chem. Inf. Model..

[33]  T. Došlić.  Bipartivity of fullerene graphs and fullerene stability , 2005 .

[34]  A. Balaban.  Chemical applications of graph theory , 1976 .

[35]  H. Hosoya.  Topological Index. A Newly Proposed Quantity Characterizing the Topological Nature of Structural Isomers of Saturated Hydrocarbons , 1971 .

[36]  K. Humbel,et al.  Chemical Applications of Topology and Graph Theory, R.B. King (Ed.). Elsevier Science Publishers, Amsterdam (1983), (ISBN 0-444-42244-7). XII + 494 p. Price Dfl. 275.00 , 1985 .

[37]  T. D. Schneider,et al.  Information content of individual genetic sequences. , 1997, Journal of theoretical biology.

[38]  Martin Suter,et al.  Small World , 2002 .

[39]  Danail Bonchev,et al.  Information theoretic indices for characterization of chemical structures , 1983 .

[40]  D. Bonchev.  On the complexity of directed biological networks , 2003, SAR and QSAR in environmental research.

[41]  Abbe Mowshowitz,et al.  Entropy and the complexity of graphs , 1967 .

[42]  Danail Bonchev,et al.  Complexity of Protein-Protein Interaction Networks, Complexes, and Pathways , 2003 .

[43]  J. A. Rodríguez-Velázquez,et al.  Atomic branching in molecules , 2006 .

[44]  J. Platt.  Prediction of Isomeric Differences in Paraffin Properties , 1952 .

[45]  S. Buldyrev,et al.  Species independence of mutual information in coding and noncoding DNA. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[46]  Wentian Li.  The complexity of DNA , 1997 .

[47]  L. Brillouin,et al.  Science and information theory , 1956 .

[48]  T G Dewey,et al.  The Shannon information entropy of protein sequences. , 1996, Biophysical journal.

[49]  A. Kolmogorov.  Three approaches to the quantitative definition of information , 1968 .

[50]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[51]  Sergey Brin,et al.  The Anatomy of a Large-Scale Hypertextual Web Search Engine , 1998, Comput. Networks.

[52]  Murray Gell-Mann,et al.  What Is Complexity , 2002 .

[53]  Jack W. Szostak,et al.  Functional information: Molecular messages , 2003, Nature.

[54]  D. Bonchev,et al.  Information theory interpretation of the Pauli principle and Hund rule , 1981 .

[55]  Danail Bonchev,et al.  Iterative procedure for the generalized graph center in polycyclic graphs , 1989, J. Chem. Inf. Comput. Sci..

[56]  L. Hall,et al.  Molecular connectivity in chemistry and drug research , 1976 .

[57]  Lila L. Gatlin,et al.  Information theory and the living system , 1972 .

[58]  H. Wiener.  Relation of the physical properties of the isomeric alkanes to molecular structure; surface, tension, specific dispersion, and critical solution temperature in aniline. , 1948, The Journal of physical and colloid chemistry.

[59]  W. Ebeling,et al.  On grammars, complexity, and information measures of biological macromolecules , 1980 .

[60]  Danail Bonchev,et al.  The concept for the centre of a chemical structure and its applications , 1989 .

[61]  H. Quastler,et al.  Essays on the use of information theory in biology , 1953 .

[62]  S. Shen-Orr,et al.  Network motifs: simple building blocks of complex networks. , 2002, Science.

[63]  Abraham Lempel,et al.  On the Complexity of Finite Sequences , 1976, IEEE Trans. Inf. Theory.

[64]  D. Bonchev,et al.  Overall connectivity--a next generation molecular connectivity. , 2001, Journal of molecular graphics & modelling.

[65]  Gerta Rücker,et al.  Substructure, Subgraph, and Walk Counts as Measures of the Complexity of Graphs and Molecules , 2001, J. Chem. Inf. Comput. Sci..

[66]  Nenad Trinajstić,et al.  Topological characterization of cyclic structures , 1980 .

[67]  Gerta Rücker,et al.  Walk Counts, Labyrinthicity, and Complexity of Acyclic and Cyclic Graphs and Molecules , 2000, J. Chem. Inf. Comput. Sci..

[68]  S. Unger.  Molecular Connectivity in Structure–activity Analysis , 1987 .

[69]  N. Trinajstic.  Chemical Graph Theory , 1992 .

[70]  S. Kauffman,et al.  Applied molecular evolution. , 1992, Journal of theoretical biology.

[71]  G. Whitesides,et al.  Complexity in chemistry. , 1999, Science.

[72]  Wentian Li.  The Measure of Compositional Heterogeneity in DNA Sequences Is Related to Measures of Complexity , 1997, adap-org/9709007.

[73]  Danail Bonchev,et al.  Overall Connectivities/Topological Complexities: A New Powerful Tool for QSPR/QSAR , 2000, J. Chem. Inf. Comput. Sci..

[74]  P. Bernaola-Galván,et al.  Compositional segmentation and long-range fractal correlations in DNA sequences. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[75]  Danail Bonchev,et al.  Generalization of the Graph Center Concept, and Derived Topological Centric Indexes , 1980, J. Chem. Inf. Comput. Sci..

[76]  Harold J. Morowitz,et al.  Some order-disorder considerations in living systems , 1955 .

[77]  William C. Herndon,et al.  The Similarity of Graphs and Molecules , 1986 .

[78]  H. Wiener.  Structural determination of paraffin boiling points. , 1947, Journal of the American Chemical Society.

[79]  Stuart A. Kauffman,et al.  ORIGINS OF ORDER , 2019, Origins of Order.

[80]  H E Stanley,et al.  Linguistic features of noncoding DNA sequences. , 1994, Physical review letters.

[81]  M. Gordon,et al.  Non-random polycondensation : statistical theory of the substitution effect , 1964 .

[82]  H P Yockey,et al.  On the information content of cytochrome c. , 1977, Journal of theoretical biology.

[83]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.