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The distribution of eccentricities in random regular graphs

Lev-Ari, Dor et al.
arXiv (All) · Papers
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disordered-systems-and-neural-networksphysics-and-societystatistical-mechanics
We derive a closed-form analytical expression for the distribution of eccentricities (DoE) in random regular graphs (RRGs) that consist of $N$ nodes of degree $c$. The DoE is given by the tail distribution $P(E > \ell) \simeq 1 - \exp \left[ - \exp \left( - \frac{ e^{b \ell} - μ}β \right) \right]$,
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