Decentralized & Small World Networks

[@petercoppola9092]

Hello. You say that many real world phenomena are modelled well by this small-worldness. I have been trying to use small worldness measures sigma (Humphries et al., 2008); Omega (Telesford et al., 2011) and phi (Muldoon et al.,, 2016) for real world phenomenons but find problems (e.g., they are largely correlated to average connectivity weights despite normalisation; different SW measures suggest different things etc., ). In principle the model is striking, however measurement is not simple. Does anybody have any suggestions or advice regarding this?

[@FarellFolly]

It, therefore, appears that social media as well the web would both exhibit both small world (distributed) characteristics and Scale-free (centralized) characteristics? Not really clear.

[@VitalSine]

Yeah, it's kind of confusing, but I don't think the two are mutually exclusive. You can have a centralized graph where most vertices aren't neighbors yet still reach other quickly through the central nodes/hubs, or you could have a decentralized graph with many local hubs and a few global connections that accomplishes the same small-world characteristics. I think both scale-free and decentralized can be small-world. Hope this helps.

[@muskduh]

Thanks for the video.

[@LLFRA]

well explained. frankfurt is further down south though if may remark this

[@AkisTheBlessed]

so Decentralized and Small World Networks are basically the same thing?

[@SystemsInnovationNetwork]

Not really, they are similar but they are defined differently, best not mix the terms as they mean different things

[@AkisTheBlessed]

I don't see the difference, both are defined as networks with local clusters that connect with each other right? High clustering coefficient and low average shortest path.

[@mattlowe9675]

Akis Linardos I think it’s because the ‘small world’ property is also true of scale free networks, but scale free networks are not the same as decentralised networks

[@VitalSine]

@Matt Lowe I like your explanation. I suppose in a fully centralized graph every vertex can be reached from every other one in just 2 steps, even though they're not neighbors, so you can have a centralized small world network.