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By Matthias Dehmer, Frank Emmert-Streib

Mathematical difficulties reminiscent of graph concept difficulties are of accelerating significance for the research of modelling info in biomedical examine resembling in platforms biology, neuronal community modelling and so on. This e-book follows a brand new method of together with graph conception from a mathematical standpoint with particular functions of graph thought in biomedical and computational sciences. The publication is written via well known specialists within the box and provides precious history details for a large viewers.

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21 Rashevsky, N. Life, information theory, and topology. Bull. Math. Biophys. 17 (1955), pp. 229–235. 22 Sabidussi, G. The centrality index of a graph. Psychometrika 31 (1966), pp. 581–603. 23 Shimbel, A. Structural parameters of communication networks. Bull. Math. Biophys. 15 (1953), pp. 501–507. 24 Simonyi, G. Graph entropy: a survey. In W. Cook and L. Lovasz, editors, Combinatorial Optimization. DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, 1995. W. T. Bonner). Cambridge University Press, Cambridge, 1961.

Bulletin of Mathematical Biophysics 30 (1968), pp. 225–240. Mowshowitz, A. Entropy and the complexity of graphs: III. Graphs with prescribed information content. Bull. Math. Biophys. 30 (1968), pp. 387–414. Mowshowitz, A. Entropy and the complexity of graphs: IV. Entropy measures and graphical structure. Bull. Math. Biophys. 30 (1968), pp. 533–546. Mowshowitz, A. The group of a graph whose adjacency matrix has all distinct eigenvalues. In F. Harary, editor, Proof Techniques in Graph Theory, pp.

Math. Biophys. 30 (1968), pp. 387–414. Mowshowitz, A. Entropy and the complexity of graphs: IV. Entropy measures and graphical structure. Bull. Math. Biophys. 30 (1968), pp. 533–546. Mowshowitz, A. The group of a graph whose adjacency matrix has all distinct eigenvalues. In F. Harary, editor, Proof Techniques in Graph Theory, pp. 109–110. Academic Press, New York, 1969. 18 Mowshowitz, A. Graphs, groups and matrices. In Proceedings of the Canadian Mathematical Congress (1971), pp. 509– 522. , and Bent, G.

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