F
Fabian Aguirre Lopez
Researcher at King's College London
Publications - 6
Citations - 33
Fabian Aguirre Lopez is an academic researcher from King's College London. The author has contributed to research in topics: Random graph & Probability distribution. The author has an hindex of 3, co-authored 6 publications receiving 23 citations.
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Imaginary replica analysis of loopy regular random graphs
TL;DR: In this paper, an analytical approach for describing spectrally constrained maximum entropy ensembles of finitely connected regular loopy graphs, valid in the regime of weak loop-loop interactions, is presented.
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Exactly solvable random graph ensemble with extensively many short cycles
TL;DR: In this article, the authors introduce and analyse ensembles of 2-regular random graphs with a tuneable distribution of short cycles, and show that the phenomenology of these graphs depends critically on scaling of the control parameters relative to the number of nodes.
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Transitions in random graphs of fixed degrees with many short cycles
TL;DR: This work derives a general formula for the three-cycle density in the regime of isolated cycles, for graphs with degree distributions that have finite first and second moments, and shows that the shattering transition is of an entropic nature, occurring for all three- cycle density values, provided the system is large enough.
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Transitions in loopy random graphs with fixed degrees and arbitrary degree distributions
TL;DR: This work derives a general formula for the loop density in the regime of isolated loops, for graphs with degree distributions that have finite and second moments, and shows that the shattering transition is of an entropic nature, occurring for all loop density values, provided the system is large enough.
Journal ArticleDOI
Imaginary replica analysis of loopy regular random graphs
TL;DR: In this paper, an analytical approach for describing spectrally constrained maximum entropy ensembles of finitely connected regular loopy graphs, valid in the regime of weak loop-loop interactions, is presented.