## Degrees in graphs III: Which degrees sequences are possible?

In previous article, we discussed what the degree sequence of a network or graph is. Recall that a graphical sequence…

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In previous article, we discussed what the degree sequence of a network or graph is. Recall that a graphical sequence…

In two previous articles (part 1 and part 2), we have discussed the design of manufacturing plants. In particular, in…

We have now seen two very simple properties that the number of friends that people in friendship networks should satisfy.…

In a previous article, we have seen that it is quite hard to design a manufacturing plant. We need to…

In a preceding article we have used a simple model to demonstrate how selfish behavior can create additional congestion. One…

A graph consists of objects called vertices and connections between them called edges. For every vertex, we can count how…

In network congestion models, we make some simplifying assumptions that make our life easier. In a large-scale system, each individual…

Traffic jams are one of the biggest inconveniences in modern time. They lead to stressful situations for commuters, and cause…

You could argue that random network theory started with one particular model, first studied by famous mathematicians Paul Erdös and…

A mathematical model of a network consists of elements and connections between them. We call the elements vertices, and the…