Spectral density of random graphs with topological constraints

Tim Rogers, Conrad Pérez Vicente, Koujin Takeda, Isaac Pérez Castillo

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

The spectral density of random graphs with topological constraints is analysed using the replica method. We consider graph ensembles featuring generalised degree-degree correlations, as well as those with a community structure. In each case an exact solution is found for the spectral density in the form of consistency equations depending on the statistical properties of the graph ensemble in question. We highlight the effect of these topological constraints on the resulting spectral density.
Original languageEnglish
Article number195002
Number of pages24
JournalJournal of Physics A: Mathematical and Theoretical
Volume43
Issue number19
DOIs
Publication statusPublished - 2010

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