Numbers of n-th neighbors and node-to-node distances in growing networks

K. Malarz

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arXiv · cond-mat/0507127

Numbers of n-th neighbors and node-to-node distances in growing networks

K. Malarz

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Abstract

Topology of exponential and scale-free trees and simple graphs is investigated numerically. The numbers of the nearest neighbors, the next-nearest neighbors, the next-next-nearest neighbors, the 4-th and the 5-th neighbors are calculated. The functional dependence of the node-to-node distance d_{ij} on the product of connectivities k_ik_j has been also checked. The results of simulations for exponential networks agree with the existing analytical predictions.

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K. Malarz. 2006-01-18. Numbers of n-th neighbors and node-to-node distances in growing networks. https://arxiv.org/abs/cond-mat/0507127

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