Resource dependency and survivability in complex networks

Ingale, Madhusudan; Shekatkar, Snehal M.

doi:10.1103/physreve.102.062304

Cited by 4 publications

(8 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Now we describe a model motivated by the model of resource dependency in networks proposed in [8]. The main difference between the two models is that the present model contains money that is used by vertices to buy and sell resource from the neighbours.…”

Section: Request-offer Model Of Resource Dependency -mentioning

confidence: 99%

“…Throughout this paper we fix η = 0.6. This way, the preference is given to the neighbours in high need, but also to those neighbours which have low degree at a given time [8].…”

Section: )mentioning

confidence: 99%

“…Here it is worth noting that one of the two important assumptions used in the threshold model in [8] was that the individual vertices do not have the information about the amounts of resource produced on any other vertices. However, as the model description given above makes clear, incorporating money in the model, depending upon the strategy used, may force us to relax this assumption.…”

Section: )mentioning

confidence: 99%

“…Our interest is mainly in seeing how the survivability of a network depends on its structure and various offer strategies described above. In [8], two measures of the network survivability were discussed: T v , the average time for which a vertex in the network survives, and T max , which is the total time for which the network survives. Mathematically,…”

Section: )mentioning

confidence: 99%

“…A particular type of dependency that is common to social systems is the dependency for resources like food. A threshold model of such resource dependencies in networks was proposed in [8] in which a vertex dies if at any time the total amount of resource on it goes below a certain value. This total amount is the sum of the amount produced by the vertex and the amount borrowed from the neighbours that are alive at that time.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Effect of money heterogeneity on resource dependency in complex networks

Agrawal¹,

Lahorkar²,

Shekatkar³

2022

EPL

Self Cite

View full text Add to dashboard Cite

Exchange of resources among individual components of a system is fundamental to systems like a social network of humans and a network of cities and villages. For various reasons, the human society has come up with the notion of money as a proxy for the resources. Here we extend the model of resource dependencies in networks that was recently proposed, by incorporating the notion of money so that the vertices of a network can sell and buy required resources among themselves. We simulate the model using the configuration model as a substrate for homogeneous as well as heterogeneous degree distributions and using various exchange strategies. We show that a moderate amount of initial heterogeneity in the money on the vertices can significantly improve the survivability of Scale-free networks but not that of homogeneous networks like the Erdos-Renyi network.

show abstract

Section: Request-offer Model Of Resource Dependency -mentioning

confidence: 99%

“…Throughout this paper we fix η = 0.6. This way, the preference is given to the neighbours in high need, but also to those neighbours which have low degree at a given time [8].…”

Section: )mentioning

confidence: 99%

Section: )mentioning

confidence: 99%

Section: )mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations