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Linked: The New Science of Networks 160

kurtkilgor writes "One of the most frustrating things about many areas of science and engineering today is that we know the basics but don't know how to put them together. We know a great deal about how atoms interact, but we aren't so sure about how to combine them to make a 'big picture' of matter. We understand how an individual computer works, but how to build large informational networks with computers is another thing entirely. We know how people act individually, and yet we can't extrapolate the behavior of entire societies from this. I've long been interested in these types of complexity problems, but not a whole lot of material has been available. In particular, Malcolm Gladwell's book The Tipping Point left me searching for an explanation for the many curiosities that he presents. Is there a mathematical description of tipping points? Is there a way to find out when and why things tip? How does information spread through society?" Kurtkilgor reviews below Albert-László Barabási's Linked: The New Science of Networking, which attempts to answer these questions.
Linked: The New Science of Networks
author Albert-László Barabási
pages 229
publisher Perseus Publishing
rating 10
reviewer kurtkilgor
ISBN 0738206679
summary An introduction to scale-free networks and their broad applications

It turns out that in the past few years, a decent amount of progress has been made on this front, largely thanks to the Internet. The Internet allows scientists to exchange information and speed up research, but more pertinently it is a test subject for these kinds of large-scale interaction problems. Linked: The New Science of Networks presents both the story of how the science has developed, and what it means. Unlike much popular scientific literature, the author himself is an active participant in the field.

The biggest surprise and most important lesson of the book is that the Internet, cellular biology, society, matter, and an incredible array of other seemingly unrelated things all form a particular type of structure called a scale-free network. These types of networks have only been described in detail recently, and their study promises to be as fundamental and rewarding as, for instance, waves or diffusion. The presence of the same structure in many unrelated situations suggests that there is a deep physical or mathematical principle which governs them.

The discovery of this principle is the subject of the first half of the book, which is a sort of detective story that leads from the most primitive concepts of graphs, as pioneered by Euler, to the state of the art. It is very interesting in itself to see how inconsistencies in mathematical models have led people to develop more and more accurate ideas of how such networks function. There is a tiny amount of math in the footnotes available for those who want it, but generally no prior knowledge is required. The author writes with plenty of anecdotes, especially in the beginning starting out with such introductions as this one of Paul Erdos:

"One afternoon in late 1920s Budapest, a seventeen-year-old youth cantered with a weird gait through the streets and stopped in front of an elegant shoe shop that sold custom-made shoes ... After knocking on the store's door-an act that would have seemed just as odd back then as today-he entered, ignoring the saleswoman at the counter, and went up to a fourteen-year-old boy in the back of the shop.

'Give me a four digit number,' he said.

'2,532,' came the wide-eyed boy's reply . . .

'The square of it is 6,441,024,' he continued. 'Sorry, I am getting old and I cannot tell you the cube.'"

For another example of both the writing style and the unusual content, the author humorously describes the discovery of a similarity between Bose-Einstein condensation and economic monopoly:

"Essentially Microsoft takes it all. As a node, it is not just slightly bigger than its next competitor. In the number of its consumers it simply cannot be compared. We all behave like extremely social Bose particles, convenience condensing us into a faceless mass of Windows users. As we purchase new computers and install Windows, we carefully feed and maintain the condensate developed around Microsoft. The operation systems market carries the basic signatures of a network that has undergone Bose-Einstein condensation, displaying clear winner-takes-all behavior."

The rest of the book devotes a chapter to a particular example of a network: epidemics, the Internet, economics, etc. One thing is abundantly clear: the more we know about how these things work, the better we'll be able to curb DDOS attacks, stop disease, and control economic failures. An unlikely example of a scale-free network is the cell. It turns out that the interactions among a cell's proteins can be modeled this way, and if we could only understand it, we would be able to come up with treatments analytically, instead of by trial and error as it is done now.

It seems to me that with a greater understanding of networks, we will be able to finally advance in many fields in which progress is currently stalled. From firefly research to AIDS treatment, this is the Next Big Thing.


You can purchase Linked from bn.com. Slashdot welcomes readers' book reviews -- to see your own review here, read the book review guidelines, then visit the submission page.

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Linked: The New Science of Networks

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  • Book's site (Score:5, Informative)

    by dietlein ( 191439 ) <(dietlein) (at) (gmail.com)> on Thursday January 23, 2003 @12:22PM (#5143538)
    Here [nd.edu] is the book's official site.

    This [nd.edu] is the photos page, with photos like.. umm... this [nd.edu].
  • More reviews (Score:5, Informative)

    by dietlein ( 191439 ) <(dietlein) (at) (gmail.com)> on Thursday January 23, 2003 @12:26PM (#5143575)
    CS Monitor [csmonitor.com] (thumbs-up)

    Nature [nature.com] (ho-hum)

    Computer User [computeruser.com] (thumbs-way-up)
  • Duhh.... (Score:1, Informative)

    by Anonymous Coward on Thursday January 23, 2003 @12:31PM (#5143616)
    Ahhh... Duhhh... the higher the level of abstraction the more complex the problems become because we don't really COMPLETELY understand the lower levels of abstraction. The errors in our assumpts manifest themselves in more unpredicable ways as we base higher and higher level concepts on those models.
  • by Dr. Sinistaar ( 600393 ) on Thursday January 23, 2003 @12:41PM (#5143686)
    "We know how people act individually, and yet we can't extrapolate the behavior of entire societies from this."

    There just happens to be an entire discipline dedicated to exploring the behavior of entire societies. It's called sociology.

    Within society, there's an entire sub field that's been studying social networks for years. Things like how information is spread, how people get jobs, how diseases like AIDS spread, all have been explored using social network analysis.

    If you want a mathematical description of "tipping points", take a look at Mark Granovetter's work on threshold models of collective behavior. Gladwell's book is based his work (though he only references Granovetter's work on how people get jobs).
  • Snow Crash... (Score:4, Informative)

    by airrage ( 514164 ) on Thursday January 23, 2003 @12:53PM (#5143773) Homepage Journal
    I liked Stephenson's idea of information as a virus. The "tipping point" was when the virus had reached a critical mass and became part of the basic store of information. Some info-virii, like Ford is better than Chevy doesn't infect enough people to tip society one way or the other. Other virii like the Earth revoles around the Sun, has infected basically the entire planet, and as such is passed from generation to generation.

    I really don't think there isn't much complexity that can't be explained by the mere fact that we are all actually living on top of a Giant's head
  • by Pig Hogger ( 10379 ) <pig.hogger@g[ ]l.com ['mai' in gap]> on Thursday January 23, 2003 @12:54PM (#5143786) Journal
    We know how people act individually, and yet we can't extrapolate the behavior of entire societies from this.
    I guess it's time to invent psychohistory [psychohistory.com]... Where's Hari Seldon [google.com] when you need him?
  • by Anonymous Coward on Thursday January 23, 2003 @01:08PM (#5143900)
    If "Linked" sounds interesting, check out "Six Degrees; the Science of a Connected Age" by Duncan J Watts. Watts covers the nuts-&-bolts of fractal networks much better than Barabasi, plus he's a lot less conceited & a better read to boot.

    S/N:R
  • by bankman ( 136859 ) on Thursday January 23, 2003 @01:15PM (#5143956) Homepage
    Please stop drawing analogues between socioeconomical politics and physics.

    If you had read the book (pp.93) and maybe this paper [nd.edu], you would have noticed that Bose-Einstein condensation is used to mathematically explain monopolies in the economic network. So, the analogy is a) explained and b) may be even valid.

    From the book: "It is, simply, that in some networks the winner can take all. Just as in a Bose-Einstein condensate all particles crowd into the lowest energy level, leaving the rest of the energy levels unpopulated, in some networks the fittest node could theoretically grab all the links, leaving none for the rest of the nodes. The winner takes all."

    Just my 2 Eurocents.
  • Re:The New Science (Score:3, Informative)

    by buswolley ( 591500 ) on Thursday January 23, 2003 @01:21PM (#5143999) Journal
    Mod this one up!

    and visit http://www.santafe.edu. It is very interesting. Santafe.edu is a college that gathers researchers from a wide number of fields in a shared environment, so that they can share ideas between fields of study.

  • by missing_boy ( 627271 ) on Thursday January 23, 2003 @01:43PM (#5144176)
    I haven't read Barabasi's latest book (well, it's just out), but I've studied his previous book "Fractal Concepts in Surface Growth" (with H.E.Stanley) in some detail. This book made an enourmous contribution to the field of statistical physics, at least to it's popularity. I am approached by colleagues quite regularily that want to borrow the book, etc., although they are in completely different fields of physics. It is good for both undergraduate students and grads alike, and serves as a very good introduction to the field.

    Barabasi and co-author Albert are literarily inventing a new field of physics/math; I'm not even quite sure of what to call it. However, they are very much in touch with current research in the field, and their work is very timely (who else could tell you that the "degree of separation" on the web is 19 and not 6?)

    As for Wolfram, however, I cannot say the same. I've seen Wolfram present his book in a special seminar (but haven't read it), and my impression is this: he is an exceptionally bright guy, but not in touch with current research. Wolfram is able to explain a wide variety of fields within physics and mathematics with great confidence, and I would be the last to call him un-educated (no two-week crash course in particle physics on his behalf! Actually, I think he was the only grad-student that Richard Feynman supervised!). I realize that when you "invent paradigm-changing science", you will necessarily meet some opposition from other researchers, but Wolfram's problem is this: he had a good idea some 20 years ago (cellular automata), secluded himself in a room since then developing his idea (as well as various sales-pitches for Mathematica), and forgot to consult with the rest of the scientific community. I understand very well why he's being critizied by his peers.

  • by Carter Butts ( 245607 ) on Thursday January 23, 2003 @05:35PM (#5146201)
    Contrary to what the author of Linked would have you believe, the scientific study of social networks has been around since the late 1920s/early 1930s. (Some of the very early work was a bit loopy -- check out Jacob Moreno's Who Shall Survive? for an example -- but the field rapidly progressed beyond this stage.) The first real network journal, Sociometry has been around since the late 1930s (longer than Barabasi has been alive, I expect), and today it's mantle is held by Social Networks; that's where you should look for current research in the field. Empirical, theoretical, and methodological work on social networks is also regularly published in the Journal of Mathematical Sociology, the Journal of Mathematical Psychology, the American Journal of Sociology, Sociological Methods and Research, Sociological Methodology, and Social Forces (among others). It turns out that we know quite a lot more about networks than Barabasi suggests in his book, and indeed the hub/connectivity issues on which his book focuses are only a very limited part of the overall picture.

    If you're interested in learning more about the large body of literature in this area, be sure to visit the INSNA [www.sfu.ca] web site. I think you'll find it much more informative than reading popular books on the subject.

    -Carter

  • by hunterellinger ( 574250 ) <ellinger@io.com> on Thursday January 23, 2003 @07:23PM (#5146911)
    Most of the "tipping point" theory (which goes back at least to Erdos' 1960 random-networks paper) looks at how gradual accumulation can lead to sudden shifts in system properties. Good stuff, and relevant to situations from Darwinian evolution to traffic-jam analysis, but not really new.

    However, the work of Sante Fe researcher Stuart Kaufmann (The Origins of Order, etc.) gives a whole new direction, showing how complex, interlocked systems can arise in some circumstances by winnowing a more complex chaotic system that arises naturally. It sounds circular until you look at it carefully, but Kaufmann backs up his analysis with extensive computer simulation as well as a deep analysis of genetic control processes (Kaufmann's original specialty).

    These ideas can be used far beyond the biological settings for which they were first developed. Examples range from the crystallization of activity patterns in a new organization or cultural area to the process of learning itself, where the "aha" experience marks the emergence of a set of coherent concepts from the overflowing cloud of ideas that sets the stage for it.

    Adding Kaufmann's ideas to your set of explanatory tools will permit you to resolve many complex-systems questions that are otherwise intractable. And computer types are particularly well-situated to understand and use his arguments.
  • by Carter Butts ( 245607 ) on Thursday January 23, 2003 @07:24PM (#5146917)
    There was no math to speak of either. I think Sociology is a bogus discipline designed to get communists into our school system.
    Might I suggest perusing the Journal of Mathematical Sociology or Social Networks for a different view of the field? While some self-described "sociologists" neatly fit your description, those of us doing actual social science would appreciate not being lumped in with the rest....

    -Carter

  • by c64cryptoboy ( 310001 ) on Friday January 24, 2003 @11:42AM (#5151018) Homepage Journal
    Many scale free distributions in user patterns have already been discovered (i.e. web pages against user visits -- a few popular sites like Amazon [amazon.com] and Ebay [ebay.com], but lots of mediocre web sites like mine [youdzone.com]). You generally get a scale free distribution of transactions anytime people interact with one another in a way that they feel is advantageous (preferential). Even more interesting is when web usage becomes content becomes web usages becomes... etc. Such as Amazon's "Customers who bought this book also bought", or when Google's page rank become self reinforcing over time.

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