Network theory or diktyology is a branch of applied mathematics and physics, with the same general subject matter as graph theory. Network theory concerns itself with the study of graphs as a representation of either symmetric relations or, more generally, of asymmetric relations between discrete objects. Typically, the graphs of concern in network theory are complex networks, examples of which include the World Wide Web, the Internet, gene regulatory networks, metabolic networks, social networks, epistemological networks, etc. See list of network theory topics for the scope of the area. Applied mathematics is a branch of mathematics that concerns itself with the mathematical techniques typically used in the application of mathematical knowledge to other domains. ... The first few hydrogen atom electron orbitals shown as cross-sections with color-coded probability density. ... A labeled graph with 6 vertices and 7 edges. ... In mathematics, a binary relation R over a set X is symmetric if it holds for all a and b in X that if a is related to b then b is related to a. ... This article just presents the basic definitions. ... In network science, which touches scientific disciplines as varied as computer science, mathematics, physics, biology and sociology, the term complex network refers to a network (graph) that has non-trivial topological structure. ... The World Wide Web (WWW or simply the Web) is a global, read-write information space. ... A gene regulatory network (also called a GRN or genetic regulatory network) is a collection of DNA segments in a cell which interact with each other and with other substances in the cell, thereby governing the rates at which genes in the network are transcribed into mRNA. // Overview Genes can... A social network is a map of the relationships between individuals, indicating the ways in which they are connected through various social familiarities ranging from casual acquaintance to close familial bonds. ... This is a list of network theory topics, by Wikipedia page. ...

External links

Institutes

• New England Complex Systems Institute (NECSI)

Articles

• M. A. M. de Aguiar, I. R. Epstein and Y. Bar-Yam: Analytically solvable model of probabilistic network dynamics, Physical Review E 72, 067102, 2005.
• S. Huang, G. Eichler, Y. Bar-Yam and D. E. Ingber, Cell Fates as High-Dimensional Attractor States of a Complex Gene Regulatory Network, Physical Review Letters 94, 128701, 2005.
• M. A. M. de Aguiar and Y. Bar-Yam, Spectral analysis and the dynamic response of complex networks, Physical Review E 71, 016106, 2005.
• D. Braha and Y. Bar-Yam, Information Flow Structure in Large-Scale Product Development Organizational Networks, to appear in Smart Business Networks, Peter Vervest et al (Eds), Chap. 8, Springer Verlag, 2004.
• Y. Bar-Yam and I. R. Epstein, Response of complex networks to stimuli, PNAS 101, 4341-4345, 2004.
• D. Braha and Y. Bar-Yam: Topology of large-scale engineering problem-solving networks, Phys. Rev. E 69, 016113-1-7, 2004.
• B. Shargel, H. Sayama, I. R. Epstein and Y. Bar-Yam: Optimization of Robustness and Connectivity in Complex Networks, Phys. Rev. Lett. 90, 068701-1-4, 2003.