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Click the title for a list of all pages that involve graph theory.
For a detailed treatment of GraphTheory?, with a topological bent, read Reinhard Diestel's excellent text [available electronically]. The mathematics are heavy, though. Be warned.
- Statistical mechanics is offering new insights into the structure and dynamics of the Internet, the World Wide Web and other complex interacting systems.
- In most complex systems, the nodes vary in their ability to compete for links. Some Web pages, for instance, quickly acquire a large number of links through a mixture of good content and marketing.
- Amazingly, such competitive-fitness models appear to have close ties with Bose-Einstein condensation, currently one of the most investigated problems in atomic physics. In an atomic gas, the atoms are distributed among many different energy levels. In a Bose-Einstein condensate, however, all the particles accumulate in the lowest energy ground state of the system and are described by the same quantum wavefunction.
plus more :-)