Science

Linked: 8 key ideas

The core ideas of Linked, each in under a minute, written in our own words. Want the full depth? Get the book.

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  1. IDEA 1 OF 8

    Networks are everywhere

    Barabási argues that many systems, from the internet to cells and societies, are networks of connected nodes.

    Studying their structure reveals common rules that explain how they grow and behave.

  2. IDEA 2 OF 8

    Early theories assumed randomness

    Barabási describes the work of mathematicians Paul Erdős and Alfréd Rényi, who studied randomly connected networks.

    Real networks, he argues, turned out to be different. Their model treated every link as equally likely, which real networks did not follow.

  3. IDEA 3 OF 8

    The world is small

    Barabási explains that in many networks, any two nodes are linked by surprisingly few steps.

    This is the small-world effect. This is why a message can cross a huge network in just a few hops.

  4. IDEA 4 OF 8

    Hubs hold networks together

    Barabási describes hubs, nodes with far more connections than others.

    Websites like search engines and popular people act as hubs. Remove such a hub, and a network can quickly lose much of its connection.

  5. IDEA 5 OF 8

    Many networks are scale-free

    Barabási explains that many real networks have a few highly connected hubs and many poorly connected nodes.

    He calls these scale-free networks. There is no typical node, since a few have huge numbers of links and most have very few.

  6. IDEA 6 OF 8

    The rich get richer

    Barabási describes preferential attachment, in which new nodes link to already popular ones.

    This explains how hubs form. Newcomers tend to link to nodes that already have many links, so the leaders keep gaining more.

  7. IDEA 7 OF 8

    Networks are robust but fragile

    Barabási explains that scale-free networks survive random failures well but are vulnerable if hubs are attacked.

    Random breakdowns usually hit small, unimportant nodes, so the network keeps working. A targeted hit on the biggest hubs can break it apart.

  8. IDEA 8 OF 8

    The web has structure

    Barabási describes how the World Wide Web is organised into regions with different connections.

    Some pages are hard to reach. Such structure means that reaching a page depends on where it sits in the larger map.

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