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Connectivity Matrix Consider the diagram below. Each node represents a webpage, and line segments represent hyperlinks that connect them. For example, the single directional arrow
Connectivity Matrix Consider the diagram below. Each node represents a webpage, and line segments represent hyperlinks that connect them. For example, the single directional arrow from to indicates there is a hyperlink on page that takes the user to page Similarly, doublesided arrow between and indicates there is a hyperlink on page to page and there is a hyperlink on page to page
We can create a matrix to represent this network. We put a in the ijth entry if is connected to ; we put otherwise.
a Build the connectivity matrix for the network given in the figure.
b If indicates traveling from one webpage to another by following a single hyperlink, then indicates traveling from one webpage to another by following two hyperlinks. Calculate and determine What does represent?
c A sequence of hyperlinks moving from one page to another is called a walk of length The ijth entry of is the number of walks length at most from to Calculate and What does represent?
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