Extremal Properties of Complex Networks

Details Extremal Properties of Complex Networks Extremal Properties of Complex Networks

2011-04-29

arxiv.org/abs/1104.5532v1

Biology

Quantitative Biology

Molecular Networks

Scientific paper

We describe the structure of connected graphs with the minimum and maximum
average distance, radius, diameter, betweenness centrality, efficiency and
resistance distance, given their order and size. We find tight bounds on these
graph qualities for any arbitrary number of nodes and edges and analytically
derive the form and properties of such networks.

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