Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-02-18
Eur. Phys. J. B41 (2004) 333
Physics
Condensed Matter
Statistical Mechanics
7 pages, 2 figures
Scientific paper
10.1140/epjb/e2004-00326-3
In a graph, nodes can be characterized locally (with their degree $k$) or globally (e.g. with their average length path $\xi$ to other nodes). Here we investigate how $\xi$ depends on $k$. Our earlier algorithm of the construction of the distance matrix is applied to the random graphs. Numerical calculations are performed for the random graphs and the growing networks: the scale-free ones and the exponential ones. The results are relevant for search strategies in different networks.
Kulakowski Krzysztof
Malarz Krzysztof
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