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The 5th International New Horizons in Search Theory Workshop: Investigating New Metrics

 

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Metric

Range

Operational Significance

Number of nodes, n

n > ~100

Network effects unlikely to occur with n < 50

Number of links, l

l < ~2n

l << 2n, too brittle
l >> 2n, too much overhead

Degree distribution

Skewed

Adaptivity, modularity

Largest hub

< 100 links

Hub appears, recedes by reconnection 5% of links

Average path length

log(n)

Short distances even for large networks (e.g., 104 nodes --> Average path length = ~4)

Clustering

Skewed

Hierarchy, organization

Betweenness

Skewed

Cascade control

Path horizon

log(n)

Self-synchronization

Susceptibility/
Robustness

Low (random removal)
High (focused removal)

Hubs should be kept obscure until needed, damage abatement/repair schemes

Neutrality Rating

(0, 1)

Increased network effects, decreased susceptibility, tipping points

Coefficient of
Networked Effects

(0, 1)

Network effects
PFE/n