Cluster-size decay in supercritical kernel-based spatial random graphs

J Jorritsma, J Komjáthy, D Mitsche - arxiv preprint arxiv:2303.00724, 2023 - arxiv.org
We consider a large class of spatially-embedded random graphs that includes among others
long-range percolation, continuum scale-free percolation and the age-dependent random …

Inhomogeneous random graphs with infinite-mean fitness variables

L Avena, D Garlaschelli, RS Hazra, M Lalli - arxiv preprint arxiv …, 2022 - arxiv.org
We consider an inhomogeneous Erd\H {o} sR\'enyi random graph ensemble with
exponentially decaying random disconnection probabilities determined by an iid field of …

The spectrum of dense kernel-based random graphs

A Cipriani, RS Hazra, N Malhotra, M Salvi - arxiv preprint arxiv …, 2025 - arxiv.org
Kernel-based random graphs (KBRGs) are a broad class of random graph models that
account for inhomogeneity among vertices. We consider KBRGs on a discrete $ d …

Cover and hitting times of hyperbolic random graphs

M Kiwi, M Schepers, J Sylvester - Random Structures & …, 2024 - Wiley Online Library
We study random walks on the giant component of Hyperbolic Random Graphs (HRGs), in
the regime when the degree distribution obeys a power law with exponent in the range (2 …