Mapping directed networks

Electronic Transactions on Numerical Analysis

Volumn 37, Issue , 2010, Pages 337-350

  Crofts, Jonathan J ^a   Estrada, Ernesto ^a   Higham, Desmond J ^a   Taylor, Alan ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Bipartivity; Clustering; Communities; Exponential; Networks; Neuroscience; Stickiness

Indexed keywords

DIRECTED GRAPHS; ECOSYSTEMS; HYPERBOLIC FUNCTIONS; NETWORKS (CIRCUITS); NEUROLOGY; SINGULAR VALUE DECOMPOSITION;

BIPARTIVITY; CLUSTERING; EXPONENTIAL; NEUROSCIENCE; STICKINESS;

MAPPING;

EID: 78651492329     PISSN: None     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. B. C. ARNOLD, N. BALAKRISHNAN, AND H. N. NAGARAJA, A First Course in Order Statistics, SIAM, Philadelphia, 2008.
2. D. BARASH, Second eigenvalue of the Laplacian matrix for predicting RNA conformational switch by mutation, Bioinformatics, 20 (2004), pp. 1861-1869.
3. N. CHATERJEE AND S. SINHA, Understanding the mind of a worm: hierarchical network structure underlying nervous system function in C. elegans, Progress in Brain Research, 168 (2008), pp. 145-153.
4. R. M. DURBIN, Studies on the Development and Organisation of the Nervous System of Caenorhabditis Elegans, Ph.D. thesis, University of Cambridge, MRC Laboratory of Molecular Biology, 1987.
5. P. ERDÖS AND A. RéNYI, On random graphs, Publ. Math. Debrecen, 6 (1959), pp. 290-297.
6. E. ESTRADA AND N. HATANO, Communicability in complex networks, Phys. Rev. E, 77 (2008), 036111 (12 pages).
7. E. ESTRADA, D. J. HIGHAM, AND N. HATANO, Communicability and multipartite structures in complex networks at negative absolute temperatures, Phys. Rev. E, 78 (2008), 026102 (7 pages).
8. W. J. EWENS AND G. R. GRANT, Statistical Methods in Bioinformatics: An Introduction, Springer, Berlin, 2001.
9. E. N. GILBERT, Random graphs, Ann. Math. Statist., 30 (1959), pp. 1141-1144.
10. G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, Johns Hopkins University Press, Baltimore, third ed., 1996.
11. D. HIGHAM, G. KALNA, AND J. VASS, Spectral analysis of two-signed microarray expression data, Math. Med. Biol., 24 (2007), pp. 131-148.
12. N. J. HIGHAM, Functions of Matrices: Theory and Computation, SIAM, Philadelphia, 2008.
13. P. HOLME, F. LILJEROS, C. R. EDLING, AND B. J. KIM, Network bipartivity, Phys. Rev. E, 68 (2003), 056107 (12 pages).
14. M. KAISER AND C. C. HILGETAG, Nonoptimal component placement, but short processing paths, due to long-distance projections in neural systems, PLoS Computat. Biol., 2 (2006), e95 (11 pages).
15. C. KAMP AND K. CHRISTENSEN, Spectral analysis of protein-protein interactions in Drosophila melanogaster, Phys. Rev. E, 71 (2005), 041911 (8 pages).
16. S. MORITA, K. OSHIO, Y. OSANA, Y. FUNABASHI, K. OKA, AND K. KAWAMURA, Geometrical structure of the neuronal network of Caenorhabditis elegans, Phys. A, 298 (2001), pp. 553-561.
17. J. L. MORRISON, R. BREITLING, D. J. HIGHAM, AND D. R. GILBERT, A lock-and-key model for proteinprotein interactions, Bioinformatics, 2 (2006), pp. 2012-2019.
18. N. PRZ ULJ AND D. J. HIGHAM, Modelling protein-protein interaction networks via a stickiness index, J. Roy. Soc. Interface, 3 (2006), pp. 711-716.