A series of web pages constitutes a slide show. Each page has one or more of the following navigation buttons, each of which is a link to another web page in the webgraph, as described:

NEXT (go to next slide/page)

PREVIOUS (go to previous slide/page)

FIRST (go to first slide/page)

Draw the directed graph for each example and contruct its transition matrix, assuming no damping. Then find the normalized eigenvector corresponding to the eigenvalue 1, which determines the ranks of the slides.

Slide show with 4 slides in which

Slide 1 contains a NEXT button

Slide 2 contains NEXT and PREVIOUS buttons

Slide 3 contains NEXT, PREVIOUS, and FIRST button

Slide 4 contains PREVIOUS and FIRST button