arXiv subjects

Balázs Szendröi

Publications and source records attributed to Balázs Szendröi.

2 recordsLinked to original sources

arXiv2004

Polynomial epidemics and clustering in contact networks

It is widely known that the spread of the HIV virus was slower than exponential in several populations, even at the very beginning of the epidemic. We show that this implies a significant reduction in the effective reproductive rate of the epidemic, and describe a general mechanism, related to the clustering properties of the disease transmission network, capable of explaining this reduction. Our considerations provide a new angle on polynomial epidemic processes, and may have implications for the choice of strategy against such epidemics.

q-bio.PE↗

arXiv2004

The fractal/small-world dichotomy in real-world networks

We draw attention to a clear dichotomy between small-world networks exhibiting exponential neighborhood growth, and fractal-like networks where neighborhoods grow according to a power law. This distinction is observed in a number of real-world networks, and is related to the degree correlations and geographical constraints. We conclude by pointing out that the status of human social networks in this dichotomy is far from clear.

cond-mat.stat-mech↗