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W3100525049 abstract "Higher order clustering coefficients $C(x)$ are introduced for random networks. The coefficients express probabilities that the shortest distance between any two nearest neighbours of a certain vertex $i$ equals $x$, when one neglects all paths crossing the node $i$. Using $C(x)$ we found that in the Barab'{a}si-Albert (BA) model the average shortest path length in a node's neighbourhood is smaller than the equivalent quantity of the whole network and the remainder depends only on the network parameter $m$. Our results show that small values of the standard clustering coefficient in large BA networks are due to random character of the nearest neighbourhood of vertices in such networks." @default.
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W3100525049 date "2002-12-01" @default.
W3100525049 modified "2023-09-30" @default.
W3100525049 title "Higher order clustering coefficients in Barabási–Albert networks" @default.
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W3100525049 doi "https://doi.org/10.1016/s0378-4371(02)01336-5" @default.
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