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• W2080751589 abstract "We develop a thorough analytical study of the $O(1/N)$ correction to the spectrum of regular random graphs with $N rightarrow infty$ nodes. The finite size fluctuations of the resolvent are given in terms of a weighted series over the contributions coming from loops of all possible lengths, from which we obtain the isolated eigenvalue as well as an analytical expression for the $O(1/N)$ correction to the continuous part of the spectrum. The comparison between this analytical formula and direct diagonalization results exhibits an excellent agreement, confirming the correctness of our expression." @default.
• W2080751589 created "2016-06-24" @default.
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• W2080751589 date "2014-11-10" @default.
• W2080751589 modified "2023-10-16" @default.
• W2080751589 title "Finite-size corrections to the spectrum of regular random graphs: An analytical solution" @default.
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• W2080751589 doi "https://doi.org/10.1103/physreve.90.052109" @default.
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• W2080751589 hasPublicationYear "2014" @default.
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