Extremal Properties of Random Structures

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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24 pages, 8 figures, review

Scientific paper

10.1007/b98716

The extremal characteristics of random structures, including trees, graphs,
and networks, are discussed. A statistical physics approach is employed in
which extremal properties are obtained through suitably defined rate equations.
A variety of unusual time dependences and system-size dependences for basic
extremal properties are obtained.

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