Graphics Reference
In-Depth Information
• The first level results in 102 direct connections to DiCaprio.
• The second level (shown in Figure 10-5 ) connects DiCaprio to 3,393
actors, either directly connected or only one step away.
Tip
Six Degrees: The Science of a Connected Age (New York: W.W. Norton
& Company, 2003), a book by Duncan Watt, uses academic research on
graphs (such as small world networks) and presents them along with
real-world examples in an easily readable format for a general
audience.
• The third level expands to 13,310 actors—already encompassing more
than 60 percent of the actors in this component.
So, while a tree-based approach can help filter out the complexity of the
graph to answer some questions local to a node, in this type of small world
network, even a tree will rapidly expand and can become difficult to draw.
Interestingly, there are many more possible ways to draw a hierarchy than
simply using a node-link representation.
Drawing a Hierarchy
You can draw hierarchies in many different ways and use them to reveal
different patterns. One very common business use of hierarchies is
aggregations of constituent components—for example, sales of various
products by category, cost of all the constituent elements that make up a
product, indexes composed of stocks by sector, contributions to profitability
by business unit, or organization of a workforce.
Instead of using a node-and-link representation, a treemap or a
hierarchical pie chart can be used to represent a hierarchy. A node-and-link
representation has a lot of space between nodes, whereas the treemap and
pie hierarchy fill the space. In the case of the treemap, rectangles indicate
quantities, and thick boundaries differentiate between levels in the
hierarchy. For the pie hierarchy, wedge sizes indicate quantities, and
successive subdivisions from the center out indicate levels of hierarchy.
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