scholarly journals Biased random walks in complex networks: The role of local navigation rules

2009 ◽  
Vol 80 (1) ◽  
Author(s):  
Agata Fronczak ◽  
Piotr Fronczak
Keyword(s):  
Complex Networks ◽  
Random Walks ◽  
Local Navigation ◽  
Biased Random Walks

scholarly journals Characteristic times of biased random walks on complex networks

2014 ◽  
Vol 89 (1) ◽  
Author(s):  
Moreno Bonaventura ◽  
Vincenzo Nicosia ◽  
Vito Latora
Keyword(s):  
Complex Networks ◽  
Random Walks ◽  
Biased Random Walks

scholarly journals Efficiency of message transmission using biased random walks in complex networks in the presence of traps

2015 ◽  
Vol 91 (1) ◽  
Author(s):  
Loukas Skarpalezos ◽  
Aristotelis Kittas ◽  
Panos Argyrakis ◽  
Reuven Cohen ◽  
Shlomo Havlin
Keyword(s):  
Complex Networks ◽  
Random Walks ◽  
Message Transmission ◽  
Biased Random Walks

scholarly journals The Role of Movement Patterns in Epidemic Models on Complex Networks

2021 ◽  
Vol 83 (10) ◽  
Author(s):  
Alfonso Ruiz-Herrera ◽  
Pedro J. Torres
Keyword(s):  
Complex Networks ◽  
Network Theory ◽  
Diffusion Rate ◽  
Critical Role ◽  
Movement Patterns ◽  
Epidemic Models ◽  
Simplifying Assumptions ◽  
The Common

AbstractIn this paper, we analyze the influence of the usual movement variables on the spread of an epidemic. Specifically, given two spatial topologies, we can deduce which topology produces less infected individuals. In particular, we determine the topology that minimizes the overall number of infected individuals. It is worth noting that we do not assume any of the common simplifying assumptions in network theory such as all the links have the same diffusion rate or the movement of the individuals is symmetric. Our main conclusion is that the degree of mobility of the population plays a critical role in the spread of a disease. Finally, we derive theoretical insights to management of epidemics.

scholarly journals Dynamics of Nonlinear Random Walks on Complex Networks

2018 ◽  
Vol 29 (4) ◽  
pp. 1419-1444 ◽  
Author(s):  
Per Sebastian Skardal ◽  
Sabina Adhikari
Keyword(s):  
Complex Networks ◽  
Random Walks
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