Impact of boundaries on fully connected random geometric networks

Details Impact of boundaries on fully connected random geometric networks Impact of boundaries on fully connected random geometric networks

2011-10-21

arxiv.org/abs/1110.4929v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 3 figures

Scientific paper

Many complex networks exhibit a percolation transition involving a macroscopic connected component, with universal features largely independent of the microscopic model and the macroscopic domain geometry. In contrast, we show that the transition to full connectivity is strongly influenced by details of the boundary, but observe an alternative form of universality. Our approach correctly distinguishes connectivity properties of networks in domains with equal bulk contributions. It also facilitates system design to promote or avoid full connectivity for diverse geometries in arbitrary dimension.

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